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Finding the Fourth Proportional to 200,069.20, 299,447.70 and 155,454.40

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Solution

The fourth proportional to 200,069.20, 299,447.70 and 155,454.40 is: 232,671.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,069.20 : 299,447.70 = 155,454.40 : x
  2. Step 2: Convert to fraction form
    200,069.20/299,447.70 = 155,454.40/x
  3. Step 3: Cross multiply
    200,069.20x = 299,447.70 × 155,454.40
  4. Step 4: Simplify right side
    200,069.20x = 46,550,462,534.88
  5. Step 5: Solve for x
    x = 46,550,462,534.88/200,069.20
  6. Step 6: Final answer
    x = 232,671.81

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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.