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Finding the Fourth Proportional to 235,638.10, 353,629.95 and 156,726.10

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Solution

The fourth proportional to 235,638.10, 353,629.95 and 156,726.10 is: 235,204.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,638.10 : 353,629.95 = 156,726.10 : x
  2. Step 2: Convert to fraction form
    235,638.10/353,629.95 = 156,726.10/x
  3. Step 3: Cross multiply
    235,638.10x = 353,629.95 × 156,726.10
  4. Step 4: Simplify right side
    235,638.10x = 55,423,042,906.70
  5. Step 5: Solve for x
    x = 55,423,042,906.70/235,638.10
  6. Step 6: Final answer
    x = 235,204.08

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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.