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Finding the Fourth Proportional to 228,092.64, 314,761.68 and 127,510.08

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Solution

The fourth proportional to 228,092.64, 314,761.68 and 127,510.08 is: 175,960.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,092.64 : 314,761.68 = 127,510.08 : x
  2. Step 2: Convert to fraction form
    228,092.64/314,761.68 = 127,510.08/x
  3. Step 3: Cross multiply
    228,092.64x = 314,761.68 × 127,510.08
  4. Step 4: Simplify right side
    228,092.64x = 40,135,286,997.73
  5. Step 5: Solve for x
    x = 40,135,286,997.73/228,092.64
  6. Step 6: Final answer
    x = 175,960.47

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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.