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Finding the Fourth Proportional to 102,881.77, 142,025.38 and 77,397.86

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Solution

The fourth proportional to 102,881.77, 142,025.38 and 77,397.86 is: 106,845.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,881.77 : 142,025.38 = 77,397.86 : x
  2. Step 2: Convert to fraction form
    102,881.77/142,025.38 = 77,397.86/x
  3. Step 3: Cross multiply
    102,881.77x = 142,025.38 × 77,397.86
  4. Step 4: Simplify right side
    102,881.77x = 10,992,459,929.13
  5. Step 5: Solve for x
    x = 10,992,459,929.13/102,881.77
  6. Step 6: Final answer
    x = 106,845.56

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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.