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Finding the Fourth Proportional to 109,092.38, 150,548.40 and 61,345.31

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Solution

The fourth proportional to 109,092.38, 150,548.40 and 61,345.31 is: 84,657.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,092.38 : 150,548.40 = 61,345.31 : x
  2. Step 2: Convert to fraction form
    109,092.38/150,548.40 = 61,345.31/x
  3. Step 3: Cross multiply
    109,092.38x = 150,548.40 × 61,345.31
  4. Step 4: Simplify right side
    109,092.38x = 9,235,437,515.26
  5. Step 5: Solve for x
    x = 9,235,437,515.26/109,092.38
  6. Step 6: Final answer
    x = 84,657.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.