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Finding the Fourth Proportional to 174,097.20, 261,145.80 and 85,407.60

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Solution

The fourth proportional to 174,097.20, 261,145.80 and 85,407.60 is: 128,111.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,097.20 : 261,145.80 = 85,407.60 : x
  2. Step 2: Convert to fraction form
    174,097.20/261,145.80 = 85,407.60/x
  3. Step 3: Cross multiply
    174,097.20x = 261,145.80 × 85,407.60
  4. Step 4: Simplify right side
    174,097.20x = 22,303,836,028.08
  5. Step 5: Solve for x
    x = 22,303,836,028.08/174,097.20
  6. Step 6: Final answer
    x = 128,111.40

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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.