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Finding the Fourth Proportional to 102,409.57, 141,385.75 and 91,047.62

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Solution

The fourth proportional to 102,409.57, 141,385.75 and 91,047.62 is: 125,699.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,409.57 : 141,385.75 = 91,047.62 : x
  2. Step 2: Convert to fraction form
    102,409.57/141,385.75 = 91,047.62/x
  3. Step 3: Cross multiply
    102,409.57x = 141,385.75 × 91,047.62
  4. Step 4: Simplify right side
    102,409.57x = 12,872,835,882.11
  5. Step 5: Solve for x
    x = 12,872,835,882.11/102,409.57
  6. Step 6: Final answer
    x = 125,699.54

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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.