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Finding the Fourth Proportional to 178,195.20, 267,292.80 and 176,966.40

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Solution

The fourth proportional to 178,195.20, 267,292.80 and 176,966.40 is: 265,449.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,195.20 : 267,292.80 = 176,966.40 : x
  2. Step 2: Convert to fraction form
    178,195.20/267,292.80 = 176,966.40/x
  3. Step 3: Cross multiply
    178,195.20x = 267,292.80 × 176,966.40
  4. Step 4: Simplify right side
    178,195.20x = 47,301,844,561.92
  5. Step 5: Solve for x
    x = 47,301,844,561.92/178,195.20
  6. Step 6: Final answer
    x = 265,449.60

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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.