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Finding the Fourth Proportional to 257,639.04, 386,696.43 and 185,666.76

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Solution

The fourth proportional to 257,639.04, 386,696.43 and 185,666.76 is: 278,671.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,639.04 : 386,696.43 = 185,666.76 : x
  2. Step 2: Convert to fraction form
    257,639.04/386,696.43 = 185,666.76/x
  3. Step 3: Cross multiply
    257,639.04x = 386,696.43 × 185,666.76
  4. Step 4: Simplify right side
    257,639.04x = 71,796,673,261.67
  5. Step 5: Solve for x
    x = 71,796,673,261.67/257,639.04
  6. Step 6: Final answer
    x = 278,671.56

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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.