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Finding the Fourth Proportional to 225,962.46, 338,593.59 and 142,681.50

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Solution

The fourth proportional to 225,962.46, 338,593.59 and 142,681.50 is: 213,801.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,962.46 : 338,593.59 = 142,681.50 : x
  2. Step 2: Convert to fraction form
    225,962.46/338,593.59 = 142,681.50/x
  3. Step 3: Cross multiply
    225,962.46x = 338,593.59 × 142,681.50
  4. Step 4: Simplify right side
    225,962.46x = 48,311,041,311.59
  5. Step 5: Solve for x
    x = 48,311,041,311.59/225,962.46
  6. Step 6: Final answer
    x = 213,801.18

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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.