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Finding the Fourth Proportional to 145,253.72, 217,893.15 and 40,072.69

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Solution

The fourth proportional to 145,253.72, 217,893.15 and 40,072.69 is: 60,112.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,253.72 : 217,893.15 = 40,072.69 : x
  2. Step 2: Convert to fraction form
    145,253.72/217,893.15 = 40,072.69/x
  3. Step 3: Cross multiply
    145,253.72x = 217,893.15 × 40,072.69
  4. Step 4: Simplify right side
    145,253.72x = 8,731,565,187.83
  5. Step 5: Solve for x
    x = 8,731,565,187.83/145,253.72
  6. Step 6: Final answer
    x = 60,112.50

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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.