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Finding the Fourth Proportional to 230,415.80, 345,623.70 and 135,937.40

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Solution

The fourth proportional to 230,415.80, 345,623.70 and 135,937.40 is: 203,906.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,415.80 : 345,623.70 = 135,937.40 : x
  2. Step 2: Convert to fraction form
    230,415.80/345,623.70 = 135,937.40/x
  3. Step 3: Cross multiply
    230,415.80x = 345,623.70 × 135,937.40
  4. Step 4: Simplify right side
    230,415.80x = 46,983,187,156.38
  5. Step 5: Solve for x
    x = 46,983,187,156.38/230,415.80
  6. Step 6: Final answer
    x = 203,906.10

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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.