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Finding the Fourth Proportional to 199,643.20, 299,263.20 and 99,649.60

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Solution

The fourth proportional to 199,643.20, 299,263.20 and 99,649.60 is: 149,373.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,643.20 : 299,263.20 = 99,649.60 : x
  2. Step 2: Convert to fraction form
    199,643.20/299,263.20 = 99,649.60/x
  3. Step 3: Cross multiply
    199,643.20x = 299,263.20 × 99,649.60
  4. Step 4: Simplify right side
    199,643.20x = 29,821,458,174.72
  5. Step 5: Solve for x
    x = 29,821,458,174.72/199,643.20
  6. Step 6: Final answer
    x = 149,373.77

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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.