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Finding the Fourth Proportional to 118,734.40, 177,842.40 and 92,231.20

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Solution

The fourth proportional to 118,734.40, 177,842.40 and 92,231.20 is: 138,145.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,734.40 : 177,842.40 = 92,231.20 : x
  2. Step 2: Convert to fraction form
    118,734.40/177,842.40 = 92,231.20/x
  3. Step 3: Cross multiply
    118,734.40x = 177,842.40 × 92,231.20
  4. Step 4: Simplify right side
    118,734.40x = 16,402,617,962.88
  5. Step 5: Solve for x
    x = 16,402,617,962.88/118,734.40
  6. Step 6: Final answer
    x = 138,145.46

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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.