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Finding the Fourth Proportional to 308,862.87, 463,185.75 and 92,657.13

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Solution

The fourth proportional to 308,862.87, 463,185.75 and 92,657.13 is: 138,953.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,862.87 : 463,185.75 = 92,657.13 : x
  2. Step 2: Convert to fraction form
    308,862.87/463,185.75 = 92,657.13/x
  3. Step 3: Cross multiply
    308,862.87x = 463,185.75 × 92,657.13
  4. Step 4: Simplify right side
    308,862.87x = 42,917,462,251.90
  5. Step 5: Solve for x
    x = 42,917,462,251.90/308,862.87
  6. Step 6: Final answer
    x = 138,953.13

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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.