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Finding the Fourth Proportional to 276,142.50, 413,549.44 and 157,454.02

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Solution

The fourth proportional to 276,142.50, 413,549.44 and 157,454.02 is: 235,802.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,142.50 : 413,549.44 = 157,454.02 : x
  2. Step 2: Convert to fraction form
    276,142.50/413,549.44 = 157,454.02/x
  3. Step 3: Cross multiply
    276,142.50x = 413,549.44 × 157,454.02
  4. Step 4: Simplify right side
    276,142.50x = 65,115,021,796.75
  5. Step 5: Solve for x
    x = 65,115,021,796.75/276,142.50
  6. Step 6: Final answer
    x = 235,802.25

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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.