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Finding the Fourth Proportional to 204,611.10, 306,916.65 and 64,412.70

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Solution

The fourth proportional to 204,611.10, 306,916.65 and 64,412.70 is: 96,619.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,611.10 : 306,916.65 = 64,412.70 : x
  2. Step 2: Convert to fraction form
    204,611.10/306,916.65 = 64,412.70/x
  3. Step 3: Cross multiply
    204,611.10x = 306,916.65 × 64,412.70
  4. Step 4: Simplify right side
    204,611.10x = 19,769,330,101.46
  5. Step 5: Solve for x
    x = 19,769,330,101.46/204,611.10
  6. Step 6: Final answer
    x = 96,619.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.