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Finding the Fourth Proportional to 202,287.40, 303,358.20 and 102,414.40

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Solution

The fourth proportional to 202,287.40, 303,358.20 and 102,414.40 is: 153,584.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,287.40 : 303,358.20 = 102,414.40 : x
  2. Step 2: Convert to fraction form
    202,287.40/303,358.20 = 102,414.40/x
  3. Step 3: Cross multiply
    202,287.40x = 303,358.20 × 102,414.40
  4. Step 4: Simplify right side
    202,287.40x = 31,068,248,038.08
  5. Step 5: Solve for x
    x = 31,068,248,038.08/202,287.40
  6. Step 6: Final answer
    x = 153,584.69

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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.