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Finding the Fourth Proportional to 233,251.80, 349,877.70 and 100,109.40

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Solution

The fourth proportional to 233,251.80, 349,877.70 and 100,109.40 is: 150,164.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,251.80 : 349,877.70 = 100,109.40 : x
  2. Step 2: Convert to fraction form
    233,251.80/349,877.70 = 100,109.40/x
  3. Step 3: Cross multiply
    233,251.80x = 349,877.70 × 100,109.40
  4. Step 4: Simplify right side
    233,251.80x = 35,026,046,620.38
  5. Step 5: Solve for x
    x = 35,026,046,620.38/233,251.80
  6. Step 6: Final answer
    x = 150,164.10

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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.