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Finding the Fourth Proportional to 162,459.12, 224,193 and 90,838.92

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Solution

The fourth proportional to 162,459.12, 224,193 and 90,838.92 is: 125,357.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,459.12 : 224,193 = 90,838.92 : x
  2. Step 2: Convert to fraction form
    162,459.12/224,193 = 90,838.92/x
  3. Step 3: Cross multiply
    162,459.12x = 224,193 × 90,838.92
  4. Step 4: Simplify right side
    162,459.12x = 20,365,449,991.56
  5. Step 5: Solve for x
    x = 20,365,449,991.56/162,459.12
  6. Step 6: Final answer
    x = 125,357.38

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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.