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Finding the Fourth Proportional to 362,364.68, 543,211.68 and 137,657.72

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Solution

The fourth proportional to 362,364.68, 543,211.68 and 137,657.72 is: 206,359.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,364.68 : 543,211.68 = 137,657.72 : x
  2. Step 2: Convert to fraction form
    362,364.68/543,211.68 = 137,657.72/x
  3. Step 3: Cross multiply
    362,364.68x = 543,211.68 × 137,657.72
  4. Step 4: Simplify right side
    362,364.68x = 74,777,281,346.17
  5. Step 5: Solve for x
    x = 74,777,281,346.17/362,364.68
  6. Step 6: Final answer
    x = 206,359.19

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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.