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Finding the Fourth Proportional to 202,978.90, 304,209.15 and 155,998.90

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Solution

The fourth proportional to 202,978.90, 304,209.15 and 155,998.90 is: 233,799.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,978.90 : 304,209.15 = 155,998.90 : x
  2. Step 2: Convert to fraction form
    202,978.90/304,209.15 = 155,998.90/x
  3. Step 3: Cross multiply
    202,978.90x = 304,209.15 × 155,998.90
  4. Step 4: Simplify right side
    202,978.90x = 47,456,292,769.94
  5. Step 5: Solve for x
    x = 47,456,292,769.94/202,978.90
  6. Step 6: Final answer
    x = 233,799.14

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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.