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Finding the Fourth Proportional to 536,649.90, 805,002.42 and 137,294.12

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Solution

The fourth proportional to 536,649.90, 805,002.42 and 137,294.12 is: 205,948.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,649.90 : 805,002.42 = 137,294.12 : x
  2. Step 2: Convert to fraction form
    536,649.90/805,002.42 = 137,294.12/x
  3. Step 3: Cross multiply
    536,649.90x = 805,002.42 × 137,294.12
  4. Step 4: Simplify right side
    536,649.90x = 110,522,094,826.76
  5. Step 5: Solve for x
    x = 110,522,094,826.76/536,649.90
  6. Step 6: Final answer
    x = 205,948.23

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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.