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Finding the Fourth Proportional to 195,414.16, 292,921.98 and 77,019.76

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Solution

The fourth proportional to 195,414.16, 292,921.98 and 77,019.76 is: 115,451.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,414.16 : 292,921.98 = 77,019.76 : x
  2. Step 2: Convert to fraction form
    195,414.16/292,921.98 = 77,019.76/x
  3. Step 3: Cross multiply
    195,414.16x = 292,921.98 × 77,019.76
  4. Step 4: Simplify right side
    195,414.16x = 22,560,780,598.32
  5. Step 5: Solve for x
    x = 22,560,780,598.32/195,414.16
  6. Step 6: Final answer
    x = 115,451.10

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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.