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Finding the Fourth Proportional to 147,044.68, 202,967.46 and 83,424.52

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Solution

The fourth proportional to 147,044.68, 202,967.46 and 83,424.52 is: 115,151.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,044.68 : 202,967.46 = 83,424.52 : x
  2. Step 2: Convert to fraction form
    147,044.68/202,967.46 = 83,424.52/x
  3. Step 3: Cross multiply
    147,044.68x = 202,967.46 × 83,424.52
  4. Step 4: Simplify right side
    147,044.68x = 16,932,462,926.12
  5. Step 5: Solve for x
    x = 16,932,462,926.12/147,044.68
  6. Step 6: Final answer
    x = 115,151.82

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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.