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Finding the Fourth Proportional to 227,690.46, 314,415.06 and 141,796.94

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Solution

The fourth proportional to 227,690.46, 314,415.06 and 141,796.94 is: 195,805.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,690.46 : 314,415.06 = 141,796.94 : x
  2. Step 2: Convert to fraction form
    227,690.46/314,415.06 = 141,796.94/x
  3. Step 3: Cross multiply
    227,690.46x = 314,415.06 × 141,796.94
  4. Step 4: Simplify right side
    227,690.46x = 44,583,093,397.92
  5. Step 5: Solve for x
    x = 44,583,093,397.92/227,690.46
  6. Step 6: Final answer
    x = 195,805.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.