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Finding the Fourth Proportional to 205,151.80, 307,209.30 and 134,649.40

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Solution

The fourth proportional to 205,151.80, 307,209.30 and 134,649.40 is: 201,633.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,151.80 : 307,209.30 = 134,649.40 : x
  2. Step 2: Convert to fraction form
    205,151.80/307,209.30 = 134,649.40/x
  3. Step 3: Cross multiply
    205,151.80x = 307,209.30 × 134,649.40
  4. Step 4: Simplify right side
    205,151.80x = 41,365,547,919.42
  5. Step 5: Solve for x
    x = 41,365,547,919.42/205,151.80
  6. Step 6: Final answer
    x = 201,633.85

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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.