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Finding the Fourth Proportional to 145,633.71, 218,462.42 and 40,452.68

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Solution

The fourth proportional to 145,633.71, 218,462.42 and 40,452.68 is: 60,682.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,633.71 : 218,462.42 = 40,452.68 : x
  2. Step 2: Convert to fraction form
    145,633.71/218,462.42 = 40,452.68/x
  3. Step 3: Cross multiply
    145,633.71x = 218,462.42 × 40,452.68
  4. Step 4: Simplify right side
    145,633.71x = 8,837,390,788.03
  5. Step 5: Solve for x
    x = 8,837,390,788.03/145,633.71
  6. Step 6: Final answer
    x = 60,682.31

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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.