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Finding the Fourth Proportional to 217,253.10, 325,879.65 and 146,750.70

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Solution

The fourth proportional to 217,253.10, 325,879.65 and 146,750.70 is: 220,126.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,253.10 : 325,879.65 = 146,750.70 : x
  2. Step 2: Convert to fraction form
    217,253.10/325,879.65 = 146,750.70/x
  3. Step 3: Cross multiply
    217,253.10x = 325,879.65 × 146,750.70
  4. Step 4: Simplify right side
    217,253.10x = 47,823,066,753.26
  5. Step 5: Solve for x
    x = 47,823,066,753.26/217,253.10
  6. Step 6: Final answer
    x = 220,126.05

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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.