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Finding the Fourth Proportional to 145,884.15, 218,773.56 and 61,650.82

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Solution

The fourth proportional to 145,884.15, 218,773.56 and 61,650.82 is: 92,453.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,884.15 : 218,773.56 = 61,650.82 : x
  2. Step 2: Convert to fraction form
    145,884.15/218,773.56 = 61,650.82/x
  3. Step 3: Cross multiply
    145,884.15x = 218,773.56 × 61,650.82
  4. Step 4: Simplify right side
    145,884.15x = 13,487,569,526.19
  5. Step 5: Solve for x
    x = 13,487,569,526.19/145,884.15
  6. Step 6: Final answer
    x = 92,453.97

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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.