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Finding the Fourth Proportional to 235,150.56, 352,766.16 and 77,423.76

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Solution

The fourth proportional to 235,150.56, 352,766.16 and 77,423.76 is: 116,148.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,150.56 : 352,766.16 = 77,423.76 : x
  2. Step 2: Convert to fraction form
    235,150.56/352,766.16 = 77,423.76/x
  3. Step 3: Cross multiply
    235,150.56x = 352,766.16 × 77,423.76
  4. Step 4: Simplify right side
    235,150.56x = 27,312,482,507.96
  5. Step 5: Solve for x
    x = 27,312,482,507.96/235,150.56
  6. Step 6: Final answer
    x = 116,148.92

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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.