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Finding the Fourth Proportional to 171,098.40, 256,474.80 and 77,671.20

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Solution

The fourth proportional to 171,098.40, 256,474.80 and 77,671.20 is: 116,428.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,098.40 : 256,474.80 = 77,671.20 : x
  2. Step 2: Convert to fraction form
    171,098.40/256,474.80 = 77,671.20/x
  3. Step 3: Cross multiply
    171,098.40x = 256,474.80 × 77,671.20
  4. Step 4: Simplify right side
    171,098.40x = 19,920,705,485.76
  5. Step 5: Solve for x
    x = 19,920,705,485.76/171,098.40
  6. Step 6: Final answer
    x = 116,428.36

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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.