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Finding the Fourth Proportional to 102,092.19, 140,887.35 and 56,769.68

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Solution

The fourth proportional to 102,092.19, 140,887.35 and 56,769.68 is: 78,342.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,092.19 : 140,887.35 = 56,769.68 : x
  2. Step 2: Convert to fraction form
    102,092.19/140,887.35 = 56,769.68/x
  3. Step 3: Cross multiply
    102,092.19x = 140,887.35 × 56,769.68
  4. Step 4: Simplify right side
    102,092.19x = 7,998,129,071.11
  5. Step 5: Solve for x
    x = 7,998,129,071.11/102,092.19
  6. Step 6: Final answer
    x = 78,342.22

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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.