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Finding the Fourth Proportional to 176,324.16, 263,901.16 and 160,565.44

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Solution

The fourth proportional to 176,324.16, 263,901.16 and 160,565.44 is: 240,315.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,324.16 : 263,901.16 = 160,565.44 : x
  2. Step 2: Convert to fraction form
    176,324.16/263,901.16 = 160,565.44/x
  3. Step 3: Cross multiply
    176,324.16x = 263,901.16 × 160,565.44
  4. Step 4: Simplify right side
    176,324.16x = 42,373,405,871.91
  5. Step 5: Solve for x
    x = 42,373,405,871.91/176,324.16
  6. Step 6: Final answer
    x = 240,315.37

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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.