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Finding the Fourth Proportional to 102,525.90, 141,275.76 and 75,625.80

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Solution

The fourth proportional to 102,525.90, 141,275.76 and 75,625.80 is: 104,208.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,525.90 : 141,275.76 = 75,625.80 : x
  2. Step 2: Convert to fraction form
    102,525.90/141,275.76 = 75,625.80/x
  3. Step 3: Cross multiply
    102,525.90x = 141,275.76 × 75,625.80
  4. Step 4: Simplify right side
    102,525.90x = 10,684,092,370.61
  5. Step 5: Solve for x
    x = 10,684,092,370.61/102,525.90
  6. Step 6: Final answer
    x = 104,208.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.