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Finding the Fourth Proportional to 157,104.24, 216,831.96 and 100,513.68

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Solution

The fourth proportional to 157,104.24, 216,831.96 and 100,513.68 is: 138,726.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,104.24 : 216,831.96 = 100,513.68 : x
  2. Step 2: Convert to fraction form
    157,104.24/216,831.96 = 100,513.68/x
  3. Step 3: Cross multiply
    157,104.24x = 216,831.96 × 100,513.68
  4. Step 4: Simplify right side
    157,104.24x = 21,794,578,241.21
  5. Step 5: Solve for x
    x = 21,794,578,241.21/157,104.24
  6. Step 6: Final answer
    x = 138,726.86

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