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Finding the Fourth Proportional to 256,849.68, 385,277.13 and 114,702.20

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Solution

The fourth proportional to 256,849.68, 385,277.13 and 114,702.20 is: 172,054.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,849.68 : 385,277.13 = 114,702.20 : x
  2. Step 2: Convert to fraction form
    256,849.68/385,277.13 = 114,702.20/x
  3. Step 3: Cross multiply
    256,849.68x = 385,277.13 × 114,702.20
  4. Step 4: Simplify right side
    256,849.68x = 44,192,134,420.69
  5. Step 5: Solve for x
    x = 44,192,134,420.69/256,849.68
  6. Step 6: Final answer
    x = 172,054.47

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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.