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Finding the Fourth Proportional to 159,095.80, 238,642.62 and 53,988.76

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Solution

The fourth proportional to 159,095.80, 238,642.62 and 53,988.76 is: 80,982.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,095.80 : 238,642.62 = 53,988.76 : x
  2. Step 2: Convert to fraction form
    159,095.80/238,642.62 = 53,988.76/x
  3. Step 3: Cross multiply
    159,095.80x = 238,642.62 × 53,988.76
  4. Step 4: Simplify right side
    159,095.80x = 12,884,019,136.95
  5. Step 5: Solve for x
    x = 12,884,019,136.95/159,095.80
  6. Step 6: Final answer
    x = 80,982.77

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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.