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Finding the Fourth Proportional to 200,097.30, 300,059.55 and 100,218.90

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Solution

The fourth proportional to 200,097.30, 300,059.55 and 100,218.90 is: 150,285.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,097.30 : 300,059.55 = 100,218.90 : x
  2. Step 2: Convert to fraction form
    200,097.30/300,059.55 = 100,218.90/x
  3. Step 3: Cross multiply
    200,097.30x = 300,059.55 × 100,218.90
  4. Step 4: Simplify right side
    200,097.30x = 30,071,638,035.50
  5. Step 5: Solve for x
    x = 30,071,638,035.50/200,097.30
  6. Step 6: Final answer
    x = 150,285.08

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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.