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Finding the Fourth Proportional to 137,603.13, 206,434.32 and 42,831.30

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Solution

The fourth proportional to 137,603.13, 206,434.32 and 42,831.30 is: 64,256.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,603.13 : 206,434.32 = 42,831.30 : x
  2. Step 2: Convert to fraction form
    137,603.13/206,434.32 = 42,831.30/x
  3. Step 3: Cross multiply
    137,603.13x = 206,434.32 × 42,831.30
  4. Step 4: Simplify right side
    137,603.13x = 8,841,850,290.22
  5. Step 5: Solve for x
    x = 8,841,850,290.22/137,603.13
  6. Step 6: Final answer
    x = 64,256.17

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