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Finding the Fourth Proportional to 162,142.32, 223,747 and 90,526.84

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Solution

The fourth proportional to 162,142.32, 223,747 and 90,526.84 is: 124,921.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,142.32 : 223,747 = 90,526.84 : x
  2. Step 2: Convert to fraction form
    162,142.32/223,747 = 90,526.84/x
  3. Step 3: Cross multiply
    162,142.32x = 223,747 × 90,526.84
  4. Step 4: Simplify right side
    162,142.32x = 20,255,108,869.48
  5. Step 5: Solve for x
    x = 20,255,108,869.48/162,142.32
  6. Step 6: Final answer
    x = 124,921.79

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