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Finding the Fourth Proportional to 174,403.20, 261,604.80 and 85,713.60

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Solution

The fourth proportional to 174,403.20, 261,604.80 and 85,713.60 is: 128,570.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,403.20 : 261,604.80 = 85,713.60 : x
  2. Step 2: Convert to fraction form
    174,403.20/261,604.80 = 85,713.60/x
  3. Step 3: Cross multiply
    174,403.20x = 261,604.80 × 85,713.60
  4. Step 4: Simplify right side
    174,403.20x = 22,423,089,185.28
  5. Step 5: Solve for x
    x = 22,423,089,185.28/174,403.20
  6. Step 6: Final answer
    x = 128,570.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.