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Finding the Fourth Proportional to 202,857.60, 304,286.40 and 189,638.40

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Solution

The fourth proportional to 202,857.60, 304,286.40 and 189,638.40 is: 284,457.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,857.60 : 304,286.40 = 189,638.40 : x
  2. Step 2: Convert to fraction form
    202,857.60/304,286.40 = 189,638.40/x
  3. Step 3: Cross multiply
    202,857.60x = 304,286.40 × 189,638.40
  4. Step 4: Simplify right side
    202,857.60x = 57,704,386,037.76
  5. Step 5: Solve for x
    x = 57,704,386,037.76/202,857.60
  6. Step 6: Final answer
    x = 284,457.60

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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.