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Finding the Fourth Proportional to 276,041.80, 414,062.70 and 157,725.10

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Solution

The fourth proportional to 276,041.80, 414,062.70 and 157,725.10 is: 236,587.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,041.80 : 414,062.70 = 157,725.10 : x
  2. Step 2: Convert to fraction form
    276,041.80/414,062.70 = 157,725.10/x
  3. Step 3: Cross multiply
    276,041.80x = 414,062.70 × 157,725.10
  4. Step 4: Simplify right side
    276,041.80x = 65,308,080,763.77
  5. Step 5: Solve for x
    x = 65,308,080,763.77/276,041.80
  6. Step 6: Final answer
    x = 236,587.65

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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.