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Finding the Fourth Proportional to 282,205.60, 422,962.80 and 124,266.40

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Solution

The fourth proportional to 282,205.60, 422,962.80 and 124,266.40 is: 186,247.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,205.60 : 422,962.80 = 124,266.40 : x
  2. Step 2: Convert to fraction form
    282,205.60/422,962.80 = 124,266.40/x
  3. Step 3: Cross multiply
    282,205.60x = 422,962.80 × 124,266.40
  4. Step 4: Simplify right side
    282,205.60x = 52,560,064,489.92
  5. Step 5: Solve for x
    x = 52,560,064,489.92/282,205.60
  6. Step 6: Final answer
    x = 186,247.42

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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.