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Finding the Fourth Proportional to 170,431.74, 235,168.38 and 102,432.51

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Solution

The fourth proportional to 170,431.74, 235,168.38 and 102,432.51 is: 141,340.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,431.74 : 235,168.38 = 102,432.51 : x
  2. Step 2: Convert to fraction form
    170,431.74/235,168.38 = 102,432.51/x
  3. Step 3: Cross multiply
    170,431.74x = 235,168.38 × 102,432.51
  4. Step 4: Simplify right side
    170,431.74x = 24,088,887,436.03
  5. Step 5: Solve for x
    x = 24,088,887,436.03/170,431.74
  6. Step 6: Final answer
    x = 141,340.38

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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.