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Finding the Fourth Proportional to 183,810.64, 275,565.28 and 65,414.56

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Solution

The fourth proportional to 183,810.64, 275,565.28 and 65,414.56 is: 98,068.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,810.64 : 275,565.28 = 65,414.56 : x
  2. Step 2: Convert to fraction form
    183,810.64/275,565.28 = 65,414.56/x
  3. Step 3: Cross multiply
    183,810.64x = 275,565.28 × 65,414.56
  4. Step 4: Simplify right side
    183,810.64x = 18,025,981,542.48
  5. Step 5: Solve for x
    x = 18,025,981,542.48/183,810.64
  6. Step 6: Final answer
    x = 98,068.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.