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Finding the Fourth Proportional to 537,013.76, 805,501.92 and 137,658.56

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Solution

The fourth proportional to 537,013.76, 805,501.92 and 137,658.56 is: 206,483.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,013.76 : 805,501.92 = 137,658.56 : x
  2. Step 2: Convert to fraction form
    537,013.76/805,501.92 = 137,658.56/x
  3. Step 3: Cross multiply
    537,013.76x = 805,501.92 × 137,658.56
  4. Step 4: Simplify right side
    537,013.76x = 110,884,234,384.44
  5. Step 5: Solve for x
    x = 110,884,234,384.44/537,013.76
  6. Step 6: Final answer
    x = 206,483.04

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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.