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Finding the Fourth Proportional to 257,981.90, 386,207.40 and 191,715.80

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Solution

The fourth proportional to 257,981.90, 386,207.40 and 191,715.80 is: 287,004.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,981.90 : 386,207.40 = 191,715.80 : x
  2. Step 2: Convert to fraction form
    257,981.90/386,207.40 = 191,715.80/x
  3. Step 3: Cross multiply
    257,981.90x = 386,207.40 × 191,715.80
  4. Step 4: Simplify right side
    257,981.90x = 74,042,060,656.92
  5. Step 5: Solve for x
    x = 74,042,060,656.92/257,981.90
  6. Step 6: Final answer
    x = 287,004.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.