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Finding the Fourth Proportional to 119,102.40, 178,585.56 and 48,924

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Solution

The fourth proportional to 119,102.40, 178,585.56 and 48,924 is: 73,358.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,102.40 : 178,585.56 = 48,924 : x
  2. Step 2: Convert to fraction form
    119,102.40/178,585.56 = 48,924/x
  3. Step 3: Cross multiply
    119,102.40x = 178,585.56 × 48,924
  4. Step 4: Simplify right side
    119,102.40x = 8,737,119,937.44
  5. Step 5: Solve for x
    x = 8,737,119,937.44/119,102.40
  6. Step 6: Final answer
    x = 73,358.05

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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.