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Finding the Fourth Proportional to 136,784.52, 205,273.14 and 48,044.94

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Solution

The fourth proportional to 136,784.52, 205,273.14 and 48,044.94 is: 72,101.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,784.52 : 205,273.14 = 48,044.94 : x
  2. Step 2: Convert to fraction form
    136,784.52/205,273.14 = 48,044.94/x
  3. Step 3: Cross multiply
    136,784.52x = 205,273.14 × 48,044.94
  4. Step 4: Simplify right side
    136,784.52x = 9,862,335,694.91
  5. Step 5: Solve for x
    x = 9,862,335,694.91/136,784.52
  6. Step 6: Final answer
    x = 72,101.26

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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.