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Finding the Fourth Proportional to 230,060.90, 317,749.92 and 153,446.96

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Solution

The fourth proportional to 230,060.90, 317,749.92 and 153,446.96 is: 211,934.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,060.90 : 317,749.92 = 153,446.96 : x
  2. Step 2: Convert to fraction form
    230,060.90/317,749.92 = 153,446.96/x
  3. Step 3: Cross multiply
    230,060.90x = 317,749.92 × 153,446.96
  4. Step 4: Simplify right side
    230,060.90x = 48,757,759,264.24
  5. Step 5: Solve for x
    x = 48,757,759,264.24/230,060.90
  6. Step 6: Final answer
    x = 211,934.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.