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Finding the Fourth Proportional to 564,521.71, 846,775.23 and 138,061.24

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Solution

The fourth proportional to 564,521.71, 846,775.23 and 138,061.24 is: 207,090.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,521.71 : 846,775.23 = 138,061.24 : x
  2. Step 2: Convert to fraction form
    564,521.71/846,775.23 = 138,061.24/x
  3. Step 3: Cross multiply
    564,521.71x = 846,775.23 × 138,061.24
  4. Step 4: Simplify right side
    564,521.71x = 116,906,836,112.26
  5. Step 5: Solve for x
    x = 116,906,836,112.26/564,521.71
  6. Step 6: Final answer
    x = 207,090.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.