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Finding the Fourth Proportional to 176,572.30, 264,858.45 and 100,464.70

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Solution

The fourth proportional to 176,572.30, 264,858.45 and 100,464.70 is: 150,697.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,572.30 : 264,858.45 = 100,464.70 : x
  2. Step 2: Convert to fraction form
    176,572.30/264,858.45 = 100,464.70/x
  3. Step 3: Cross multiply
    176,572.30x = 264,858.45 × 100,464.70
  4. Step 4: Simplify right side
    176,572.30x = 26,608,924,721.72
  5. Step 5: Solve for x
    x = 26,608,924,721.72/176,572.30
  6. Step 6: Final answer
    x = 150,697.05

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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.