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Finding the Fourth Proportional to 338,032.90, 507,043.35 and 135,680.50

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Solution

The fourth proportional to 338,032.90, 507,043.35 and 135,680.50 is: 203,518.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,032.90 : 507,043.35 = 135,680.50 : x
  2. Step 2: Convert to fraction form
    338,032.90/507,043.35 = 135,680.50/x
  3. Step 3: Cross multiply
    338,032.90x = 507,043.35 × 135,680.50
  4. Step 4: Simplify right side
    338,032.90x = 68,795,895,249.68
  5. Step 5: Solve for x
    x = 68,795,895,249.68/338,032.90
  6. Step 6: Final answer
    x = 203,518.34

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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.