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Finding the Fourth Proportional to 243,719.72, 365,445.60 and 75,194.06

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Solution

The fourth proportional to 243,719.72, 365,445.60 and 75,194.06 is: 112,749.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,719.72 : 365,445.60 = 75,194.06 : x
  2. Step 2: Convert to fraction form
    243,719.72/365,445.60 = 75,194.06/x
  3. Step 3: Cross multiply
    243,719.72x = 365,445.60 × 75,194.06
  4. Step 4: Simplify right side
    243,719.72x = 27,479,336,545.91
  5. Step 5: Solve for x
    x = 27,479,336,545.91/243,719.72
  6. Step 6: Final answer
    x = 112,749.75

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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.