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Finding the Fourth Proportional to 159,903.65, 239,855.45 and 47,585.48

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Solution

The fourth proportional to 159,903.65, 239,855.45 and 47,585.48 is: 71,378.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,903.65 : 239,855.45 = 47,585.48 : x
  2. Step 2: Convert to fraction form
    159,903.65/239,855.45 = 47,585.48/x
  3. Step 3: Cross multiply
    159,903.65x = 239,855.45 × 47,585.48
  4. Step 4: Simplify right side
    159,903.65x = 11,413,635,281.66
  5. Step 5: Solve for x
    x = 11,413,635,281.66/159,903.65
  6. Step 6: Final answer
    x = 71,378.20

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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.