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Finding the Fourth Proportional to 162,586.64, 224,378.28 and 90,962.38

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Solution

The fourth proportional to 162,586.64, 224,378.28 and 90,962.38 is: 125,532.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,586.64 : 224,378.28 = 90,962.38 : x
  2. Step 2: Convert to fraction form
    162,586.64/224,378.28 = 90,962.38/x
  3. Step 3: Cross multiply
    162,586.64x = 224,378.28 × 90,962.38
  4. Step 4: Simplify right side
    162,586.64x = 20,409,982,369.11
  5. Step 5: Solve for x
    x = 20,409,982,369.11/162,586.64
  6. Step 6: Final answer
    x = 125,532.96

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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.