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Finding the Fourth Proportional to 189,712.80, 284,585.40 and 65,053.80

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Solution

The fourth proportional to 189,712.80, 284,585.40 and 65,053.80 is: 97,586.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,712.80 : 284,585.40 = 65,053.80 : x
  2. Step 2: Convert to fraction form
    189,712.80/284,585.40 = 65,053.80/x
  3. Step 3: Cross multiply
    189,712.80x = 284,585.40 × 65,053.80
  4. Step 4: Simplify right side
    189,712.80x = 18,513,361,694.52
  5. Step 5: Solve for x
    x = 18,513,361,694.52/189,712.80
  6. Step 6: Final answer
    x = 97,586.26

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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.