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Finding the Fourth Proportional to 537,044.52, 805,567.82 and 137,686.71

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Solution

The fourth proportional to 537,044.52, 805,567.82 and 137,686.71 is: 206,530.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,044.52 : 805,567.82 = 137,686.71 : x
  2. Step 2: Convert to fraction form
    537,044.52/805,567.82 = 137,686.71/x
  3. Step 3: Cross multiply
    537,044.52x = 805,567.82 × 137,686.71
  4. Step 4: Simplify right side
    537,044.52x = 110,915,982,129.24
  5. Step 5: Solve for x
    x = 110,915,982,129.24/537,044.52
  6. Step 6: Final answer
    x = 206,530.33

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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.