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Finding the Fourth Proportional to 233,157.80, 349,736.70 and 100,015.40

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Solution

The fourth proportional to 233,157.80, 349,736.70 and 100,015.40 is: 150,023.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,157.80 : 349,736.70 = 100,015.40 : x
  2. Step 2: Convert to fraction form
    233,157.80/349,736.70 = 100,015.40/x
  3. Step 3: Cross multiply
    233,157.80x = 349,736.70 × 100,015.40
  4. Step 4: Simplify right side
    233,157.80x = 34,979,055,945.18
  5. Step 5: Solve for x
    x = 34,979,055,945.18/233,157.80
  6. Step 6: Final answer
    x = 150,023.10

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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.