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Finding the Fourth Proportional to 204,077.70, 306,116.55 and 202,109.40

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Solution

The fourth proportional to 204,077.70, 306,116.55 and 202,109.40 is: 303,164.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,077.70 : 306,116.55 = 202,109.40 : x
  2. Step 2: Convert to fraction form
    204,077.70/306,116.55 = 202,109.40/x
  3. Step 3: Cross multiply
    204,077.70x = 306,116.55 × 202,109.40
  4. Step 4: Simplify right side
    204,077.70x = 61,869,032,250.57
  5. Step 5: Solve for x
    x = 61,869,032,250.57/204,077.70
  6. Step 6: Final answer
    x = 303,164.10

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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.