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Finding the Fourth Proportional to 159,888.16, 239,790.45 and 47,538.12

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Solution

The fourth proportional to 159,888.16, 239,790.45 and 47,538.12 is: 71,294.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,888.16 : 239,790.45 = 47,538.12 : x
  2. Step 2: Convert to fraction form
    159,888.16/239,790.45 = 47,538.12/x
  3. Step 3: Cross multiply
    159,888.16x = 239,790.45 × 47,538.12
  4. Step 4: Simplify right side
    159,888.16x = 11,399,187,186.95
  5. Step 5: Solve for x
    x = 11,399,187,186.95/159,888.16
  6. Step 6: Final answer
    x = 71,294.76

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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.