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Finding the Fourth Proportional to 256,943.94, 385,424.33 and 88,462.48

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Solution

The fourth proportional to 256,943.94, 385,424.33 and 88,462.48 is: 132,696.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,943.94 : 385,424.33 = 88,462.48 : x
  2. Step 2: Convert to fraction form
    256,943.94/385,424.33 = 88,462.48/x
  3. Step 3: Cross multiply
    256,943.94x = 385,424.33 × 88,462.48
  4. Step 4: Simplify right side
    256,943.94x = 34,095,592,084.14
  5. Step 5: Solve for x
    x = 34,095,592,084.14/256,943.94
  6. Step 6: Final answer
    x = 132,696.62

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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.