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Finding the Fourth Proportional to 141,807.20, 212,710.80 and 71,823.20

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Solution

The fourth proportional to 141,807.20, 212,710.80 and 71,823.20 is: 107,734.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,807.20 : 212,710.80 = 71,823.20 : x
  2. Step 2: Convert to fraction form
    141,807.20/212,710.80 = 71,823.20/x
  3. Step 3: Cross multiply
    141,807.20x = 212,710.80 × 71,823.20
  4. Step 4: Simplify right side
    141,807.20x = 15,277,570,330.56
  5. Step 5: Solve for x
    x = 15,277,570,330.56/141,807.20
  6. Step 6: Final answer
    x = 107,734.80

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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.