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Finding the Fourth Proportional to 342,624.24, 514,068.84 and 132,203.76

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Solution

The fourth proportional to 342,624.24, 514,068.84 and 132,203.76 is: 198,356.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,624.24 : 514,068.84 = 132,203.76 : x
  2. Step 2: Convert to fraction form
    342,624.24/514,068.84 = 132,203.76/x
  3. Step 3: Cross multiply
    342,624.24x = 514,068.84 × 132,203.76
  4. Step 4: Simplify right side
    342,624.24x = 67,961,833,546.84
  5. Step 5: Solve for x
    x = 67,961,833,546.84/342,624.24
  6. Step 6: Final answer
    x = 198,356.76

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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.