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Finding the Fourth Proportional to 170,948.80, 256,420.80 and 77,454.40

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Solution

The fourth proportional to 170,948.80, 256,420.80 and 77,454.40 is: 116,180.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,948.80 : 256,420.80 = 77,454.40 : x
  2. Step 2: Convert to fraction form
    170,948.80/256,420.80 = 77,454.40/x
  3. Step 3: Cross multiply
    170,948.80x = 256,420.80 × 77,454.40
  4. Step 4: Simplify right side
    170,948.80x = 19,860,919,211.52
  5. Step 5: Solve for x
    x = 19,860,919,211.52/170,948.80
  6. Step 6: Final answer
    x = 116,180.51

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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.