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Finding the Fourth Proportional to 276,138.50, 413,543.45 and 157,450.01

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Solution

The fourth proportional to 276,138.50, 413,543.45 and 157,450.01 is: 235,796.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,138.50 : 413,543.45 = 157,450.01 : x
  2. Step 2: Convert to fraction form
    276,138.50/413,543.45 = 157,450.01/x
  3. Step 3: Cross multiply
    276,138.50x = 413,543.45 × 157,450.01
  4. Step 4: Simplify right side
    276,138.50x = 65,112,417,482.97
  5. Step 5: Solve for x
    x = 65,112,417,482.97/276,138.50
  6. Step 6: Final answer
    x = 235,796.24

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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.