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Finding the Fourth Proportional to 210,439.68, 290,320.78 and 155,380.95

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Solution

The fourth proportional to 210,439.68, 290,320.78 and 155,380.95 is: 214,362.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,439.68 : 290,320.78 = 155,380.95 : x
  2. Step 2: Convert to fraction form
    210,439.68/290,320.78 = 155,380.95/x
  3. Step 3: Cross multiply
    210,439.68x = 290,320.78 × 155,380.95
  4. Step 4: Simplify right side
    210,439.68x = 45,110,318,601.14
  5. Step 5: Solve for x
    x = 45,110,318,601.14/210,439.68
  6. Step 6: Final answer
    x = 214,362.23

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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.