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Finding the Fourth Proportional to 162,584.64, 224,375.52 and 90,960.38

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Solution

The fourth proportional to 162,584.64, 224,375.52 and 90,960.38 is: 125,530.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,584.64 : 224,375.52 = 90,960.38 : x
  2. Step 2: Convert to fraction form
    162,584.64/224,375.52 = 90,960.38/x
  3. Step 3: Cross multiply
    162,584.64x = 224,375.52 × 90,960.38
  4. Step 4: Simplify right side
    162,584.64x = 20,409,282,561.90
  5. Step 5: Solve for x
    x = 20,409,282,561.90/162,584.64
  6. Step 6: Final answer
    x = 125,530.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.