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Finding the Fourth Proportional to 267,200.10, 368,741.70 and 146,346.48

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Solution

The fourth proportional to 267,200.10, 368,741.70 and 146,346.48 is: 201,961.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,200.10 : 368,741.70 = 146,346.48 : x
  2. Step 2: Convert to fraction form
    267,200.10/368,741.70 = 146,346.48/x
  3. Step 3: Cross multiply
    267,200.10x = 368,741.70 × 146,346.48
  4. Step 4: Simplify right side
    267,200.10x = 53,964,049,824.22
  5. Step 5: Solve for x
    x = 53,964,049,824.22/267,200.10
  6. Step 6: Final answer
    x = 201,961.19

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1.5x scale

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.