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Finding the Fourth Proportional to 176,612.80, 264,314.40 and 106,542.40

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Solution

The fourth proportional to 176,612.80, 264,314.40 and 106,542.40 is: 159,448.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,612.80 : 264,314.40 = 106,542.40 : x
  2. Step 2: Convert to fraction form
    176,612.80/264,314.40 = 106,542.40/x
  3. Step 3: Cross multiply
    176,612.80x = 264,314.40 × 106,542.40
  4. Step 4: Simplify right side
    176,612.80x = 28,160,690,530.56
  5. Step 5: Solve for x
    x = 28,160,690,530.56/176,612.80
  6. Step 6: Final answer
    x = 159,448.75

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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.