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Finding the Fourth Proportional to 537,204.12, 805,672.20 and 158,049.40

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Solution

The fourth proportional to 537,204.12, 805,672.20 and 158,049.40 is: 237,034.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,204.12 : 805,672.20 = 158,049.40 : x
  2. Step 2: Convert to fraction form
    537,204.12/805,672.20 = 158,049.40/x
  3. Step 3: Cross multiply
    537,204.12x = 805,672.20 × 158,049.40
  4. Step 4: Simplify right side
    537,204.12x = 127,336,007,806.68
  5. Step 5: Solve for x
    x = 127,336,007,806.68/537,204.12
  6. Step 6: Final answer
    x = 237,034.68

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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.