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Finding the Fourth Proportional to 242,502.92, 334,601.25 and 147,033.08

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Solution

The fourth proportional to 242,502.92, 334,601.25 and 147,033.08 is: 202,873.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,502.92 : 334,601.25 = 147,033.08 : x
  2. Step 2: Convert to fraction form
    242,502.92/334,601.25 = 147,033.08/x
  3. Step 3: Cross multiply
    242,502.92x = 334,601.25 × 147,033.08
  4. Step 4: Simplify right side
    242,502.92x = 49,197,452,359.35
  5. Step 5: Solve for x
    x = 49,197,452,359.35/242,502.92
  6. Step 6: Final answer
    x = 202,873.65

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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.