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Finding the Fourth Proportional to 114,538.32, 171,916.92 and 70,251.66

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Solution

The fourth proportional to 114,538.32, 171,916.92 and 70,251.66 is: 105,444.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,538.32 : 171,916.92 = 70,251.66 : x
  2. Step 2: Convert to fraction form
    114,538.32/171,916.92 = 70,251.66/x
  3. Step 3: Cross multiply
    114,538.32x = 171,916.92 × 70,251.66
  4. Step 4: Simplify right side
    114,538.32x = 12,077,449,012.09
  5. Step 5: Solve for x
    x = 12,077,449,012.09/114,538.32
  6. Step 6: Final answer
    x = 105,444.61

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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.