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Finding the Fourth Proportional to 133,046.10, 199,569.15 and 123,423.30

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Solution

The fourth proportional to 133,046.10, 199,569.15 and 123,423.30 is: 185,134.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,046.10 : 199,569.15 = 123,423.30 : x
  2. Step 2: Convert to fraction form
    133,046.10/199,569.15 = 123,423.30/x
  3. Step 3: Cross multiply
    133,046.10x = 199,569.15 × 123,423.30
  4. Step 4: Simplify right side
    133,046.10x = 24,631,483,071.20
  5. Step 5: Solve for x
    x = 24,631,483,071.20/133,046.10
  6. Step 6: Final answer
    x = 185,134.95

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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.