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Finding the Fourth Proportional to 176,608.60, 264,864.30 and 71,438.20

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Solution

The fourth proportional to 176,608.60, 264,864.30 and 71,438.20 is: 107,137.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,608.60 : 264,864.30 = 71,438.20 : x
  2. Step 2: Convert to fraction form
    176,608.60/264,864.30 = 71,438.20/x
  3. Step 3: Cross multiply
    176,608.60x = 264,864.30 × 71,438.20
  4. Step 4: Simplify right side
    176,608.60x = 18,921,428,836.26
  5. Step 5: Solve for x
    x = 18,921,428,836.26/176,608.60
  6. Step 6: Final answer
    x = 107,137.64

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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.