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Finding the Fourth Proportional to 202,298.40, 303,107.40 and 160,016.40

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Solution

The fourth proportional to 202,298.40, 303,107.40 and 160,016.40 is: 239,755.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,298.40 : 303,107.40 = 160,016.40 : x
  2. Step 2: Convert to fraction form
    202,298.40/303,107.40 = 160,016.40/x
  3. Step 3: Cross multiply
    202,298.40x = 303,107.40 × 160,016.40
  4. Step 4: Simplify right side
    202,298.40x = 48,502,154,961.36
  5. Step 5: Solve for x
    x = 48,502,154,961.36/202,298.40
  6. Step 6: Final answer
    x = 239,755.50

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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.