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Finding the Fourth Proportional to 141,706.92, 212,560.02 and 97,198.68

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Solution

The fourth proportional to 141,706.92, 212,560.02 and 97,198.68 is: 145,797.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,706.92 : 212,560.02 = 97,198.68 : x
  2. Step 2: Convert to fraction form
    141,706.92/212,560.02 = 97,198.68/x
  3. Step 3: Cross multiply
    141,706.92x = 212,560.02 × 97,198.68
  4. Step 4: Simplify right side
    141,706.92x = 20,660,553,364.77
  5. Step 5: Solve for x
    x = 20,660,553,364.77/141,706.92
  6. Step 6: Final answer
    x = 145,797.77

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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.