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Finding the Fourth Proportional to 162,562.42, 243,793.02 and 57,356.74

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Solution

The fourth proportional to 162,562.42, 243,793.02 and 57,356.74 is: 86,017.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,562.42 : 243,793.02 = 57,356.74 : x
  2. Step 2: Convert to fraction form
    162,562.42/243,793.02 = 57,356.74/x
  3. Step 3: Cross multiply
    162,562.42x = 243,793.02 × 57,356.74
  4. Step 4: Simplify right side
    162,562.42x = 13,983,172,861.95
  5. Step 5: Solve for x
    x = 13,983,172,861.95/162,562.42
  6. Step 6: Final answer
    x = 86,017.25

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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.