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Finding the Fourth Proportional to 154,893.64, 232,349.10 and 44,077

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Solution

The fourth proportional to 154,893.64, 232,349.10 and 44,077 is: 66,117.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,893.64 : 232,349.10 = 44,077 : x
  2. Step 2: Convert to fraction form
    154,893.64/232,349.10 = 44,077/x
  3. Step 3: Cross multiply
    154,893.64x = 232,349.10 × 44,077
  4. Step 4: Simplify right side
    154,893.64x = 10,241,251,280.70
  5. Step 5: Solve for x
    x = 10,241,251,280.70/154,893.64
  6. Step 6: Final answer
    x = 66,117.96

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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.