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Finding the Fourth Proportional to 159,322.96, 239,023.32 and 48,514.96

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Solution

The fourth proportional to 159,322.96, 239,023.32 and 48,514.96 is: 72,784.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,322.96 : 239,023.32 = 48,514.96 : x
  2. Step 2: Convert to fraction form
    159,322.96/239,023.32 = 48,514.96/x
  3. Step 3: Cross multiply
    159,322.96x = 239,023.32 × 48,514.96
  4. Step 4: Simplify right side
    159,322.96x = 11,596,206,808.87
  5. Step 5: Solve for x
    x = 11,596,206,808.87/159,322.96
  6. Step 6: Final answer
    x = 72,784.28

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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.