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Finding the Fourth Proportional to 197,292.56, 295,642.76 and 118,320

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Solution

The fourth proportional to 197,292.56, 295,642.76 and 118,320 is: 177,302.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,292.56 : 295,642.76 = 118,320 : x
  2. Step 2: Convert to fraction form
    197,292.56/295,642.76 = 118,320/x
  3. Step 3: Cross multiply
    197,292.56x = 295,642.76 × 118,320
  4. Step 4: Simplify right side
    197,292.56x = 34,980,451,363.20
  5. Step 5: Solve for x
    x = 34,980,451,363.20/197,292.56
  6. Step 6: Final answer
    x = 177,302.44

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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.