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Finding the Fourth Proportional to 159,357.20, 239,035.80 and 47,038.96

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Solution

The fourth proportional to 159,357.20, 239,035.80 and 47,038.96 is: 70,558.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,357.20 : 239,035.80 = 47,038.96 : x
  2. Step 2: Convert to fraction form
    159,357.20/239,035.80 = 47,038.96/x
  3. Step 3: Cross multiply
    159,357.20x = 239,035.80 × 47,038.96
  4. Step 4: Simplify right side
    159,357.20x = 11,243,995,434.77
  5. Step 5: Solve for x
    x = 11,243,995,434.77/159,357.20
  6. Step 6: Final answer
    x = 70,558.44

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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.