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Finding the Fourth Proportional to 197,241.60, 295,862.40 and 165,748.80

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Solution

The fourth proportional to 197,241.60, 295,862.40 and 165,748.80 is: 248,623.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,241.60 : 295,862.40 = 165,748.80 : x
  2. Step 2: Convert to fraction form
    197,241.60/295,862.40 = 165,748.80/x
  3. Step 3: Cross multiply
    197,241.60x = 295,862.40 × 165,748.80
  4. Step 4: Simplify right side
    197,241.60x = 49,038,837,765.12
  5. Step 5: Solve for x
    x = 49,038,837,765.12/197,241.60
  6. Step 6: Final answer
    x = 248,623.20

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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.