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Finding the Fourth Proportional to 202,141.20, 303,211.80 and 180,368.40

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Solution

The fourth proportional to 202,141.20, 303,211.80 and 180,368.40 is: 270,552.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,141.20 : 303,211.80 = 180,368.40 : x
  2. Step 2: Convert to fraction form
    202,141.20/303,211.80 = 180,368.40/x
  3. Step 3: Cross multiply
    202,141.20x = 303,211.80 × 180,368.40
  4. Step 4: Simplify right side
    202,141.20x = 54,689,827,227.12
  5. Step 5: Solve for x
    x = 54,689,827,227.12/202,141.20
  6. Step 6: Final answer
    x = 270,552.60

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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.