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Finding the Fourth Proportional to 257,818.54, 355,854.98 and 176,179.84

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Solution

The fourth proportional to 257,818.54, 355,854.98 and 176,179.84 is: 243,172.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,818.54 : 355,854.98 = 176,179.84 : x
  2. Step 2: Convert to fraction form
    257,818.54/355,854.98 = 176,179.84/x
  3. Step 3: Cross multiply
    257,818.54x = 355,854.98 × 176,179.84
  4. Step 4: Simplify right side
    257,818.54x = 62,694,473,439.60
  5. Step 5: Solve for x
    x = 62,694,473,439.60/257,818.54
  6. Step 6: Final answer
    x = 243,172.87

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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.