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Finding the Fourth Proportional to 162,652.56, 243,929.04 and 57,446.88

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Solution

The fourth proportional to 162,652.56, 243,929.04 and 57,446.88 is: 86,152.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,652.56 : 243,929.04 = 57,446.88 : x
  2. Step 2: Convert to fraction form
    162,652.56/243,929.04 = 57,446.88/x
  3. Step 3: Cross multiply
    162,652.56x = 243,929.04 × 57,446.88
  4. Step 4: Simplify right side
    162,652.56x = 14,012,962,289.40
  5. Step 5: Solve for x
    x = 14,012,962,289.40/162,652.56
  6. Step 6: Final answer
    x = 86,152.73

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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.