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Finding the Fourth Proportional to 154,713.60, 232,113.60 and 75,830.40

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Solution

The fourth proportional to 154,713.60, 232,113.60 and 75,830.40 is: 113,766.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,713.60 : 232,113.60 = 75,830.40 : x
  2. Step 2: Convert to fraction form
    154,713.60/232,113.60 = 75,830.40/x
  3. Step 3: Cross multiply
    154,713.60x = 232,113.60 × 75,830.40
  4. Step 4: Simplify right side
    154,713.60x = 17,601,267,133.44
  5. Step 5: Solve for x
    x = 17,601,267,133.44/154,713.60
  6. Step 6: Final answer
    x = 113,766.77

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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.