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Finding the Fourth Proportional to 132,706.98, 199,124.20 and 82,774.26

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Solution

The fourth proportional to 132,706.98, 199,124.20 and 82,774.26 is: 124,201.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,706.98 : 199,124.20 = 82,774.26 : x
  2. Step 2: Convert to fraction form
    132,706.98/199,124.20 = 82,774.26/x
  3. Step 3: Cross multiply
    132,706.98x = 199,124.20 × 82,774.26
  4. Step 4: Simplify right side
    132,706.98x = 16,482,358,303.09
  5. Step 5: Solve for x
    x = 16,482,358,303.09/132,706.98
  6. Step 6: Final answer
    x = 124,201.14

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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.