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Finding the Fourth Proportional to 141,292.80, 212,284.80 and 106,300.80

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Solution

The fourth proportional to 141,292.80, 212,284.80 and 106,300.80 is: 159,711.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,292.80 : 212,284.80 = 106,300.80 : x
  2. Step 2: Convert to fraction form
    141,292.80/212,284.80 = 106,300.80/x
  3. Step 3: Cross multiply
    141,292.80x = 212,284.80 × 106,300.80
  4. Step 4: Simplify right side
    141,292.80x = 22,566,044,067.84
  5. Step 5: Solve for x
    x = 22,566,044,067.84/141,292.80
  6. Step 6: Final answer
    x = 159,711.21

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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.