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Finding the Fourth Proportional to 233,697.40, 349,739.70 and 140,270.20

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Solution

The fourth proportional to 233,697.40, 349,739.70 and 140,270.20 is: 209,921.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,697.40 : 349,739.70 = 140,270.20 : x
  2. Step 2: Convert to fraction form
    233,697.40/349,739.70 = 140,270.20/x
  3. Step 3: Cross multiply
    233,697.40x = 349,739.70 × 140,270.20
  4. Step 4: Simplify right side
    233,697.40x = 49,058,057,666.94
  5. Step 5: Solve for x
    x = 49,058,057,666.94/233,697.40
  6. Step 6: Final answer
    x = 209,921.28

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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.