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Finding the Fourth Proportional to 176,542.20, 264,813.30 and 159,046.20

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Solution

The fourth proportional to 176,542.20, 264,813.30 and 159,046.20 is: 238,569.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,542.20 : 264,813.30 = 159,046.20 : x
  2. Step 2: Convert to fraction form
    176,542.20/264,813.30 = 159,046.20/x
  3. Step 3: Cross multiply
    176,542.20x = 264,813.30 × 159,046.20
  4. Step 4: Simplify right side
    176,542.20x = 42,117,549,074.46
  5. Step 5: Solve for x
    x = 42,117,549,074.46/176,542.20
  6. Step 6: Final answer
    x = 238,569.30

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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.