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Finding the Fourth Proportional to 201,088.93, 301,633.12 and 51,329.20

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Solution

The fourth proportional to 201,088.93, 301,633.12 and 51,329.20 is: 76,993.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,088.93 : 301,633.12 = 51,329.20 : x
  2. Step 2: Convert to fraction form
    201,088.93/301,633.12 = 51,329.20/x
  3. Step 3: Cross multiply
    201,088.93x = 301,633.12 × 51,329.20
  4. Step 4: Simplify right side
    201,088.93x = 15,482,586,743.10
  5. Step 5: Solve for x
    x = 15,482,586,743.10/201,088.93
  6. Step 6: Final answer
    x = 76,993.73

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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.