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Finding the Fourth Proportional to 178,275.36, 267,378.48 and 67,476

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Solution

The fourth proportional to 178,275.36, 267,378.48 and 67,476 is: 101,200.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,275.36 : 267,378.48 = 67,476 : x
  2. Step 2: Convert to fraction form
    178,275.36/267,378.48 = 67,476/x
  3. Step 3: Cross multiply
    178,275.36x = 267,378.48 × 67,476
  4. Step 4: Simplify right side
    178,275.36x = 18,041,630,316.48
  5. Step 5: Solve for x
    x = 18,041,630,316.48/178,275.36
  6. Step 6: Final answer
    x = 101,200.92

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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.