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Finding the Fourth Proportional to 200,087.40, 300,476.70 and 106,775.40

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Solution

The fourth proportional to 200,087.40, 300,476.70 and 106,775.40 is: 160,347.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,087.40 : 300,476.70 = 106,775.40 : x
  2. Step 2: Convert to fraction form
    200,087.40/300,476.70 = 106,775.40/x
  3. Step 3: Cross multiply
    200,087.40x = 300,476.70 × 106,775.40
  4. Step 4: Simplify right side
    200,087.40x = 32,083,519,833.18
  5. Step 5: Solve for x
    x = 32,083,519,833.18/200,087.40
  6. Step 6: Final answer
    x = 160,347.53

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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.