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Finding the Fourth Proportional to 193,401.20, 290,101.80 and 53,159.60

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Solution

The fourth proportional to 193,401.20, 290,101.80 and 53,159.60 is: 79,739.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,401.20 : 290,101.80 = 53,159.60 : x
  2. Step 2: Convert to fraction form
    193,401.20/290,101.80 = 53,159.60/x
  3. Step 3: Cross multiply
    193,401.20x = 290,101.80 × 53,159.60
  4. Step 4: Simplify right side
    193,401.20x = 15,421,695,647.28
  5. Step 5: Solve for x
    x = 15,421,695,647.28/193,401.20
  6. Step 6: Final answer
    x = 79,739.40

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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.