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Finding the Fourth Proportional to 102,508.09, 141,384.80 and 75,275.62

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Solution

The fourth proportional to 102,508.09, 141,384.80 and 75,275.62 is: 103,824.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,508.09 : 141,384.80 = 75,275.62 : x
  2. Step 2: Convert to fraction form
    102,508.09/141,384.80 = 75,275.62/x
  3. Step 3: Cross multiply
    102,508.09x = 141,384.80 × 75,275.62
  4. Step 4: Simplify right side
    102,508.09x = 10,642,827,889.88
  5. Step 5: Solve for x
    x = 10,642,827,889.88/102,508.09
  6. Step 6: Final answer
    x = 103,824.27

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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.