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Finding the Fourth Proportional to 162,613.14, 243,741.77 and 83,732.10

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Solution

The fourth proportional to 162,613.14, 243,741.77 and 83,732.10 is: 125,506.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,613.14 : 243,741.77 = 83,732.10 : x
  2. Step 2: Convert to fraction form
    162,613.14/243,741.77 = 83,732.10/x
  3. Step 3: Cross multiply
    162,613.14x = 243,741.77 × 83,732.10
  4. Step 4: Simplify right side
    162,613.14x = 20,409,010,259.82
  5. Step 5: Solve for x
    x = 20,409,010,259.82/162,613.14
  6. Step 6: Final answer
    x = 125,506.53

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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.