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Finding the Fourth Proportional to 171,102.40, 256,480.80 and 77,675.20

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Solution

The fourth proportional to 171,102.40, 256,480.80 and 77,675.20 is: 116,434.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,102.40 : 256,480.80 = 77,675.20 : x
  2. Step 2: Convert to fraction form
    171,102.40/256,480.80 = 77,675.20/x
  3. Step 3: Cross multiply
    171,102.40x = 256,480.80 × 77,675.20
  4. Step 4: Simplify right side
    171,102.40x = 19,922,197,436.16
  5. Step 5: Solve for x
    x = 19,922,197,436.16/171,102.40
  6. Step 6: Final answer
    x = 116,434.35

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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.