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Finding the Fourth Proportional to 208,065.40, 312,098.10 and 202,233.40

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Solution

The fourth proportional to 208,065.40, 312,098.10 and 202,233.40 is: 303,350.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,065.40 : 312,098.10 = 202,233.40 : x
  2. Step 2: Convert to fraction form
    208,065.40/312,098.10 = 202,233.40/x
  3. Step 3: Cross multiply
    208,065.40x = 312,098.10 × 202,233.40
  4. Step 4: Simplify right side
    208,065.40x = 63,116,659,896.54
  5. Step 5: Solve for x
    x = 63,116,659,896.54/208,065.40
  6. Step 6: Final answer
    x = 303,350.10

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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.