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Finding the Fourth Proportional to 252,114.50, 378,171.76 and 94,417.22

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Solution

The fourth proportional to 252,114.50, 378,171.76 and 94,417.22 is: 141,625.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,114.50 : 378,171.76 = 94,417.22 : x
  2. Step 2: Convert to fraction form
    252,114.50/378,171.76 = 94,417.22/x
  3. Step 3: Cross multiply
    252,114.50x = 378,171.76 × 94,417.22
  4. Step 4: Simplify right side
    252,114.50x = 35,705,926,261.71
  5. Step 5: Solve for x
    x = 35,705,926,261.71/252,114.50
  6. Step 6: Final answer
    x = 141,625.83

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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.