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Finding the Fourth Proportional to 176,646.80, 264,624.60 and 106,317.20

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Solution

The fourth proportional to 176,646.80, 264,624.60 and 106,317.20 is: 159,267.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,646.80 : 264,624.60 = 106,317.20 : x
  2. Step 2: Convert to fraction form
    176,646.80/264,624.60 = 106,317.20/x
  3. Step 3: Cross multiply
    176,646.80x = 264,624.60 × 106,317.20
  4. Step 4: Simplify right side
    176,646.80x = 28,134,146,523.12
  5. Step 5: Solve for x
    x = 28,134,146,523.12/176,646.80
  6. Step 6: Final answer
    x = 159,267.80

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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.