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Finding the Fourth Proportional to 230,206.84, 317,700.02 and 129,611.32

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Solution

The fourth proportional to 230,206.84, 317,700.02 and 129,611.32 is: 178,871.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,206.84 : 317,700.02 = 129,611.32 : x
  2. Step 2: Convert to fraction form
    230,206.84/317,700.02 = 129,611.32/x
  3. Step 3: Cross multiply
    230,206.84x = 317,700.02 × 129,611.32
  4. Step 4: Simplify right side
    230,206.84x = 41,177,518,956.23
  5. Step 5: Solve for x
    x = 41,177,518,956.23/230,206.84
  6. Step 6: Final answer
    x = 178,871.83

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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.