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Finding the Fourth Proportional to 136,472.01, 204,732.32 and 46,509.74

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Solution

The fourth proportional to 136,472.01, 204,732.32 and 46,509.74 is: 69,772.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,472.01 : 204,732.32 = 46,509.74 : x
  2. Step 2: Convert to fraction form
    136,472.01/204,732.32 = 46,509.74/x
  3. Step 3: Cross multiply
    136,472.01x = 204,732.32 × 46,509.74
  4. Step 4: Simplify right side
    136,472.01x = 9,522,046,972.80
  5. Step 5: Solve for x
    x = 9,522,046,972.80/136,472.01
  6. Step 6: Final answer
    x = 69,772.89

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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.