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Finding the Fourth Proportional to 102,468.98, 141,407.98 and 57,149.89

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Solution

The fourth proportional to 102,468.98, 141,407.98 and 57,149.89 is: 78,867.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,468.98 : 141,407.98 = 57,149.89 : x
  2. Step 2: Convert to fraction form
    102,468.98/141,407.98 = 57,149.89/x
  3. Step 3: Cross multiply
    102,468.98x = 141,407.98 × 57,149.89
  4. Step 4: Simplify right side
    102,468.98x = 8,081,450,005.73
  5. Step 5: Solve for x
    x = 8,081,450,005.73/102,468.98
  6. Step 6: Final answer
    x = 78,867.28

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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.