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Finding the Fourth Proportional to 140,613.42, 210,584.68 and 89,852.90

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Solution

The fourth proportional to 140,613.42, 210,584.68 and 89,852.90 is: 134,565.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,613.42 : 210,584.68 = 89,852.90 : x
  2. Step 2: Convert to fraction form
    140,613.42/210,584.68 = 89,852.90/x
  3. Step 3: Cross multiply
    140,613.42x = 210,584.68 × 89,852.90
  4. Step 4: Simplify right side
    140,613.42x = 18,921,644,193.57
  5. Step 5: Solve for x
    x = 18,921,644,193.57/140,613.42
  6. Step 6: Final answer
    x = 134,565.00

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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.