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Finding the Fourth Proportional to 144,902.10, 217,199.72 and 48,747.76

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Solution

The fourth proportional to 144,902.10, 217,199.72 and 48,747.76 is: 73,070.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,902.10 : 217,199.72 = 48,747.76 : x
  2. Step 2: Convert to fraction form
    144,902.10/217,199.72 = 48,747.76/x
  3. Step 3: Cross multiply
    144,902.10x = 217,199.72 × 48,747.76
  4. Step 4: Simplify right side
    144,902.10x = 10,587,999,822.63
  5. Step 5: Solve for x
    x = 10,587,999,822.63/144,902.10
  6. Step 6: Final answer
    x = 73,070.02

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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.