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Finding the Fourth Proportional to 187,897.68, 257,711.16 and 177,730.56

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Solution

The fourth proportional to 187,897.68, 257,711.16 and 177,730.56 is: 243,766.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,897.68 : 257,711.16 = 177,730.56 : x
  2. Step 2: Convert to fraction form
    187,897.68/257,711.16 = 177,730.56/x
  3. Step 3: Cross multiply
    187,897.68x = 257,711.16 × 177,730.56
  4. Step 4: Simplify right side
    187,897.68x = 45,803,148,785.05
  5. Step 5: Solve for x
    x = 45,803,148,785.05/187,897.68
  6. Step 6: Final answer
    x = 243,766.44

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.