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Finding the Fourth Proportional to 170,403.68, 235,174.57 and 102,442.65

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Solution

The fourth proportional to 170,403.68, 235,174.57 and 102,442.65 is: 141,381.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,403.68 : 235,174.57 = 102,442.65 : x
  2. Step 2: Convert to fraction form
    170,403.68/235,174.57 = 102,442.65/x
  3. Step 3: Cross multiply
    170,403.68x = 235,174.57 × 102,442.65
  4. Step 4: Simplify right side
    170,403.68x = 24,091,906,163.41
  5. Step 5: Solve for x
    x = 24,091,906,163.41/170,403.68
  6. Step 6: Final answer
    x = 141,381.38

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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.