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Finding the Fourth Proportional to 159,832.86, 240,021.45 and 153,145.50

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Solution

The fourth proportional to 159,832.86, 240,021.45 and 153,145.50 is: 229,979.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,832.86 : 240,021.45 = 153,145.50 : x
  2. Step 2: Convert to fraction form
    159,832.86/240,021.45 = 153,145.50/x
  3. Step 3: Cross multiply
    159,832.86x = 240,021.45 × 153,145.50
  4. Step 4: Simplify right side
    159,832.86x = 36,758,204,970.98
  5. Step 5: Solve for x
    x = 36,758,204,970.98/159,832.86
  6. Step 6: Final answer
    x = 229,979.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.