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Finding the Fourth Proportional to 200,064.42, 276,189.15 and 154,639.74

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Solution

The fourth proportional to 200,064.42, 276,189.15 and 154,639.74 is: 213,480.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,064.42 : 276,189.15 = 154,639.74 : x
  2. Step 2: Convert to fraction form
    200,064.42/276,189.15 = 154,639.74/x
  3. Step 3: Cross multiply
    200,064.42x = 276,189.15 × 154,639.74
  4. Step 4: Simplify right side
    200,064.42x = 42,709,818,346.82
  5. Step 5: Solve for x
    x = 42,709,818,346.82/200,064.42
  6. Step 6: Final answer
    x = 213,480.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.