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Finding the Fourth Proportional to 176,188.16, 264,207.72 and 70,978.88

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Solution

The fourth proportional to 176,188.16, 264,207.72 and 70,978.88 is: 106,438.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,188.16 : 264,207.72 = 70,978.88 : x
  2. Step 2: Convert to fraction form
    176,188.16/264,207.72 = 70,978.88/x
  3. Step 3: Cross multiply
    176,188.16x = 264,207.72 × 70,978.88
  4. Step 4: Simplify right side
    176,188.16x = 18,753,168,052.95
  5. Step 5: Solve for x
    x = 18,753,168,052.95/176,188.16
  6. Step 6: Final answer
    x = 106,438.30

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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.