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Finding the Fourth Proportional to 227,688.46, 314,412.30 and 141,794.94

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Solution

The fourth proportional to 227,688.46, 314,412.30 and 141,794.94 is: 195,802.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,688.46 : 314,412.30 = 141,794.94 : x
  2. Step 2: Convert to fraction form
    227,688.46/314,412.30 = 141,794.94/x
  3. Step 3: Cross multiply
    227,688.46x = 314,412.30 × 141,794.94
  4. Step 4: Simplify right side
    227,688.46x = 44,582,073,213.76
  5. Step 5: Solve for x
    x = 44,582,073,213.76/227,688.46
  6. Step 6: Final answer
    x = 195,802.95

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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.