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Finding the Fourth Proportional to 232,794.75, 349,015.06 and 120,403.30

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Solution

The fourth proportional to 232,794.75, 349,015.06 and 120,403.30 is: 180,513.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,794.75 : 349,015.06 = 120,403.30 : x
  2. Step 2: Convert to fraction form
    232,794.75/349,015.06 = 120,403.30/x
  3. Step 3: Cross multiply
    232,794.75x = 349,015.06 × 120,403.30
  4. Step 4: Simplify right side
    232,794.75x = 42,022,564,973.70
  5. Step 5: Solve for x
    x = 42,022,564,973.70/232,794.75
  6. Step 6: Final answer
    x = 180,513.37

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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.