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Finding the Fourth Proportional to 138,225.96, 190,761.47 and 77,802.39

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Solution

The fourth proportional to 138,225.96, 190,761.47 and 77,802.39 is: 107,372.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,225.96 : 190,761.47 = 77,802.39 : x
  2. Step 2: Convert to fraction form
    138,225.96/190,761.47 = 77,802.39/x
  3. Step 3: Cross multiply
    138,225.96x = 190,761.47 × 77,802.39
  4. Step 4: Simplify right side
    138,225.96x = 14,841,698,285.91
  5. Step 5: Solve for x
    x = 14,841,698,285.91/138,225.96
  6. Step 6: Final answer
    x = 107,372.73

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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.