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Finding the Fourth Proportional to 253,763.50, 380,645.25 and 85,283.83

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Solution

The fourth proportional to 253,763.50, 380,645.25 and 85,283.83 is: 127,925.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,763.50 : 380,645.25 = 85,283.83 : x
  2. Step 2: Convert to fraction form
    253,763.50/380,645.25 = 85,283.83/x
  3. Step 3: Cross multiply
    253,763.50x = 380,645.25 × 85,283.83
  4. Step 4: Simplify right side
    253,763.50x = 32,462,883,839.69
  5. Step 5: Solve for x
    x = 32,462,883,839.69/253,763.50
  6. Step 6: Final answer
    x = 127,925.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.