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Finding the Fourth Proportional to 159,733.80, 239,102.10 and 117,661.32

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Solution

The fourth proportional to 159,733.80, 239,102.10 and 117,661.32 is: 176,124.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,733.80 : 239,102.10 = 117,661.32 : x
  2. Step 2: Convert to fraction form
    159,733.80/239,102.10 = 117,661.32/x
  3. Step 3: Cross multiply
    159,733.80x = 239,102.10 × 117,661.32
  4. Step 4: Simplify right side
    159,733.80x = 28,133,068,700.77
  5. Step 5: Solve for x
    x = 28,133,068,700.77/159,733.80
  6. Step 6: Final answer
    x = 176,124.71

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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.