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Finding the Fourth Proportional to 147,053.52, 202,935.84 and 83,389.92

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Solution

The fourth proportional to 147,053.52, 202,935.84 and 83,389.92 is: 115,079.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,053.52 : 202,935.84 = 83,389.92 : x
  2. Step 2: Convert to fraction form
    147,053.52/202,935.84 = 83,389.92/x
  3. Step 3: Cross multiply
    147,053.52x = 202,935.84 × 83,389.92
  4. Step 4: Simplify right side
    147,053.52x = 16,922,803,462.73
  5. Step 5: Solve for x
    x = 16,922,803,462.73/147,053.52
  6. Step 6: Final answer
    x = 115,079.21

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Why These Related Problems?

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