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Finding the Fourth Proportional to 240,432.68, 360,681.84 and 100,158.50

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Solution

The fourth proportional to 240,432.68, 360,681.84 and 100,158.50 is: 150,251.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,432.68 : 360,681.84 = 100,158.50 : x
  2. Step 2: Convert to fraction form
    240,432.68/360,681.84 = 100,158.50/x
  3. Step 3: Cross multiply
    240,432.68x = 360,681.84 × 100,158.50
  4. Step 4: Simplify right side
    240,432.68x = 36,125,352,071.64
  5. Step 5: Solve for x
    x = 36,125,352,071.64/240,432.68
  6. Step 6: Final answer
    x = 150,251.42

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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.