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Finding the Fourth Proportional to 133,042.74, 199,590.39 and 48,803.68

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Solution

The fourth proportional to 133,042.74, 199,590.39 and 48,803.68 is: 73,215.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,042.74 : 199,590.39 = 48,803.68 : x
  2. Step 2: Convert to fraction form
    133,042.74/199,590.39 = 48,803.68/x
  3. Step 3: Cross multiply
    133,042.74x = 199,590.39 × 48,803.68
  4. Step 4: Simplify right side
    133,042.74x = 9,740,745,774.12
  5. Step 5: Solve for x
    x = 9,740,745,774.12/133,042.74
  6. Step 6: Final answer
    x = 73,215.16

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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.