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Finding the Fourth Proportional to 127,584.60, 176,105.88 and 82,262.64

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Solution

The fourth proportional to 127,584.60, 176,105.88 and 82,262.64 is: 113,547.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,584.60 : 176,105.88 = 82,262.64 : x
  2. Step 2: Convert to fraction form
    127,584.60/176,105.88 = 82,262.64/x
  3. Step 3: Cross multiply
    127,584.60x = 176,105.88 × 82,262.64
  4. Step 4: Simplify right side
    127,584.60x = 14,486,934,608.32
  5. Step 5: Solve for x
    x = 14,486,934,608.32/127,584.60
  6. Step 6: Final answer
    x = 113,547.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.