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Finding the Fourth Proportional to 141,803.20, 212,653.60 and 71,659.20

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Solution

The fourth proportional to 141,803.20, 212,653.60 and 71,659.20 is: 107,462.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,803.20 : 212,653.60 = 71,659.20 : x
  2. Step 2: Convert to fraction form
    141,803.20/212,653.60 = 71,659.20/x
  3. Step 3: Cross multiply
    141,803.20x = 212,653.60 × 71,659.20
  4. Step 4: Simplify right side
    141,803.20x = 15,238,586,853.12
  5. Step 5: Solve for x
    x = 15,238,586,853.12/141,803.20
  6. Step 6: Final answer
    x = 107,462.93

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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.