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Finding the Fourth Proportional to 205,284.60, 307,926.90 and 175,217.40

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Solution

The fourth proportional to 205,284.60, 307,926.90 and 175,217.40 is: 262,826.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,284.60 : 307,926.90 = 175,217.40 : x
  2. Step 2: Convert to fraction form
    205,284.60/307,926.90 = 175,217.40/x
  3. Step 3: Cross multiply
    205,284.60x = 307,926.90 × 175,217.40
  4. Step 4: Simplify right side
    205,284.60x = 53,954,150,808.06
  5. Step 5: Solve for x
    x = 53,954,150,808.06/205,284.60
  6. Step 6: Final answer
    x = 262,826.10

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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.