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Finding the Fourth Proportional to 162,414.80, 243,613.56 and 51,598.16

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Solution

The fourth proportional to 162,414.80, 243,613.56 and 51,598.16 is: 77,394.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,414.80 : 243,613.56 = 51,598.16 : x
  2. Step 2: Convert to fraction form
    162,414.80/243,613.56 = 51,598.16/x
  3. Step 3: Cross multiply
    162,414.80x = 243,613.56 × 51,598.16
  4. Step 4: Simplify right side
    162,414.80x = 12,570,011,447.05
  5. Step 5: Solve for x
    x = 12,570,011,447.05/162,414.80
  6. Step 6: Final answer
    x = 77,394.50

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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.