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Finding the Fourth Proportional to 276,200.80, 414,301.20 and 157,884.10

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Solution

The fourth proportional to 276,200.80, 414,301.20 and 157,884.10 is: 236,826.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,200.80 : 414,301.20 = 157,884.10 : x
  2. Step 2: Convert to fraction form
    276,200.80/414,301.20 = 157,884.10/x
  3. Step 3: Cross multiply
    276,200.80x = 414,301.20 × 157,884.10
  4. Step 4: Simplify right side
    276,200.80x = 65,411,572,090.92
  5. Step 5: Solve for x
    x = 65,411,572,090.92/276,200.80
  6. Step 6: Final answer
    x = 236,826.15

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1.5x scale

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.