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Finding the Fourth Proportional to 264,236.50, 396,396.03 and 86,703.14

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Solution

The fourth proportional to 264,236.50, 396,396.03 and 86,703.14 is: 130,068.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,236.50 : 396,396.03 = 86,703.14 : x
  2. Step 2: Convert to fraction form
    264,236.50/396,396.03 = 86,703.14/x
  3. Step 3: Cross multiply
    264,236.50x = 396,396.03 × 86,703.14
  4. Step 4: Simplify right side
    264,236.50x = 34,368,780,484.53
  5. Step 5: Solve for x
    x = 34,368,780,484.53/264,236.50
  6. Step 6: Final answer
    x = 130,068.26

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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.