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Finding the Fourth Proportional to 312,188.24, 430,821.14 and 168,948.29

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Solution

The fourth proportional to 312,188.24, 430,821.14 and 168,948.29 is: 233,149.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,188.24 : 430,821.14 = 168,948.29 : x
  2. Step 2: Convert to fraction form
    312,188.24/430,821.14 = 168,948.29/x
  3. Step 3: Cross multiply
    312,188.24x = 430,821.14 × 168,948.29
  4. Step 4: Simplify right side
    312,188.24x = 72,786,495,131.16
  5. Step 5: Solve for x
    x = 72,786,495,131.16/312,188.24
  6. Step 6: Final answer
    x = 233,149.38

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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.