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Finding the Fourth Proportional to 176,665.32, 264,848.22 and 76,750.20

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Solution

The fourth proportional to 176,665.32, 264,848.22 and 76,750.20 is: 115,060.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,665.32 : 264,848.22 = 76,750.20 : x
  2. Step 2: Convert to fraction form
    176,665.32/264,848.22 = 76,750.20/x
  3. Step 3: Cross multiply
    176,665.32x = 264,848.22 × 76,750.20
  4. Step 4: Simplify right side
    176,665.32x = 20,327,153,854.64
  5. Step 5: Solve for x
    x = 20,327,153,854.64/176,665.32
  6. Step 6: Final answer
    x = 115,060.24

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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.