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Finding the Fourth Proportional to 205,611.40, 308,417.10 and 122,667.40

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Solution

The fourth proportional to 205,611.40, 308,417.10 and 122,667.40 is: 184,001.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,611.40 : 308,417.10 = 122,667.40 : x
  2. Step 2: Convert to fraction form
    205,611.40/308,417.10 = 122,667.40/x
  3. Step 3: Cross multiply
    205,611.40x = 308,417.10 × 122,667.40
  4. Step 4: Simplify right side
    205,611.40x = 37,832,723,772.54
  5. Step 5: Solve for x
    x = 37,832,723,772.54/205,611.40
  6. Step 6: Final answer
    x = 184,001.10

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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.