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Finding the Fourth Proportional to 102,665.50, 141,669.14 and 57,337.18

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Solution

The fourth proportional to 102,665.50, 141,669.14 and 57,337.18 is: 79,120.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,665.50 : 141,669.14 = 57,337.18 : x
  2. Step 2: Convert to fraction form
    102,665.50/141,669.14 = 57,337.18/x
  3. Step 3: Cross multiply
    102,665.50x = 141,669.14 × 57,337.18
  4. Step 4: Simplify right side
    102,665.50x = 8,122,908,980.63
  5. Step 5: Solve for x
    x = 8,122,908,980.63/102,665.50
  6. Step 6: Final answer
    x = 79,120.14

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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.