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Finding the Fourth Proportional to 233,242.20, 349,777.44 and 83,441.88

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Solution

The fourth proportional to 233,242.20, 349,777.44 and 83,441.88 is: 125,132.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,242.20 : 349,777.44 = 83,441.88 : x
  2. Step 2: Convert to fraction form
    233,242.20/349,777.44 = 83,441.88/x
  3. Step 3: Cross multiply
    233,242.20x = 349,777.44 × 83,441.88
  4. Step 4: Simplify right side
    233,242.20x = 29,186,087,175.19
  5. Step 5: Solve for x
    x = 29,186,087,175.19/233,242.20
  6. Step 6: Final answer
    x = 125,132.10

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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.