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Finding the Fourth Proportional to 537,285.74, 805,651.11 and 158,157.20

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Solution

The fourth proportional to 537,285.74, 805,651.11 and 158,157.20 is: 237,154.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,285.74 : 805,651.11 = 158,157.20 : x
  2. Step 2: Convert to fraction form
    537,285.74/805,651.11 = 158,157.20/x
  3. Step 3: Cross multiply
    537,285.74x = 805,651.11 × 158,157.20
  4. Step 4: Simplify right side
    537,285.74x = 127,419,525,748.62
  5. Step 5: Solve for x
    x = 127,419,525,748.62/537,285.74
  6. Step 6: Final answer
    x = 237,154.12

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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.