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Finding the Fourth Proportional to 308,064.00, 462,148.54 and 137,347.66

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Solution

The fourth proportional to 308,064.00, 462,148.54 and 137,347.66 is: 206,044.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,064.00 : 462,148.54 = 137,347.66 : x
  2. Step 2: Convert to fraction form
    308,064.00/462,148.54 = 137,347.66/x
  3. Step 3: Cross multiply
    308,064.00x = 462,148.54 × 137,347.66
  4. Step 4: Simplify right side
    308,064.00x = 63,475,020,248.52
  5. Step 5: Solve for x
    x = 63,475,020,248.52/308,064.00
  6. Step 6: Final answer
    x = 206,044.91

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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.