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Finding the Fourth Proportional to 256,598.24, 384,787.23 and 88,135.52

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Solution

The fourth proportional to 256,598.24, 384,787.23 and 88,135.52 is: 132,165.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,598.24 : 384,787.23 = 88,135.52 : x
  2. Step 2: Convert to fraction form
    256,598.24/384,787.23 = 88,135.52/x
  3. Step 3: Cross multiply
    256,598.24x = 384,787.23 × 88,135.52
  4. Step 4: Simplify right side
    256,598.24x = 33,913,422,605.41
  5. Step 5: Solve for x
    x = 33,913,422,605.41/256,598.24
  6. Step 6: Final answer
    x = 132,165.45

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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.