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Finding the Fourth Proportional to 262,078.20, 393,117.30 and 178,097.40

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Solution

The fourth proportional to 262,078.20, 393,117.30 and 178,097.40 is: 267,146.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,078.20 : 393,117.30 = 178,097.40 : x
  2. Step 2: Convert to fraction form
    262,078.20/393,117.30 = 178,097.40/x
  3. Step 3: Cross multiply
    262,078.20x = 393,117.30 × 178,097.40
  4. Step 4: Simplify right side
    262,078.20x = 70,013,169,025.02
  5. Step 5: Solve for x
    x = 70,013,169,025.02/262,078.20
  6. Step 6: Final answer
    x = 267,146.10

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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.