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Finding the Fourth Proportional to 193,407.20, 290,110.80 and 160,164.80

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Solution

The fourth proportional to 193,407.20, 290,110.80 and 160,164.80 is: 240,247.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,407.20 : 290,110.80 = 160,164.80 : x
  2. Step 2: Convert to fraction form
    193,407.20/290,110.80 = 160,164.80/x
  3. Step 3: Cross multiply
    193,407.20x = 290,110.80 × 160,164.80
  4. Step 4: Simplify right side
    193,407.20x = 46,465,538,259.84
  5. Step 5: Solve for x
    x = 46,465,538,259.84/193,407.20
  6. Step 6: Final answer
    x = 240,247.20

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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.