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Finding the Fourth Proportional to 159,903.04, 239,809.20 and 47,578.72

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Solution

The fourth proportional to 159,903.04, 239,809.20 and 47,578.72 is: 71,354.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,903.04 : 239,809.20 = 47,578.72 : x
  2. Step 2: Convert to fraction form
    159,903.04/239,809.20 = 47,578.72/x
  3. Step 3: Cross multiply
    159,903.04x = 239,809.20 × 47,578.72
  4. Step 4: Simplify right side
    159,903.04x = 11,409,814,780.22
  5. Step 5: Solve for x
    x = 11,409,814,780.22/159,903.04
  6. Step 6: Final answer
    x = 71,354.58

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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.