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Finding the Fourth Proportional to 170,680.56, 235,462.91 and 102,657.57

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Solution

The fourth proportional to 170,680.56, 235,462.91 and 102,657.57 is: 141,621.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,680.56 : 235,462.91 = 102,657.57 : x
  2. Step 2: Convert to fraction form
    170,680.56/235,462.91 = 102,657.57/x
  3. Step 3: Cross multiply
    170,680.56x = 235,462.91 × 102,657.57
  4. Step 4: Simplify right side
    170,680.56x = 24,172,050,165.73
  5. Step 5: Solve for x
    x = 24,172,050,165.73/170,680.56
  6. Step 6: Final answer
    x = 141,621.58

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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.