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Finding the Fourth Proportional to 201,264.96, 301,878.93 and 68,130

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Solution

The fourth proportional to 201,264.96, 301,878.93 and 68,130 is: 102,188.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,264.96 : 301,878.93 = 68,130 : x
  2. Step 2: Convert to fraction form
    201,264.96/301,878.93 = 68,130/x
  3. Step 3: Cross multiply
    201,264.96x = 301,878.93 × 68,130
  4. Step 4: Simplify right side
    201,264.96x = 20,567,011,500.90
  5. Step 5: Solve for x
    x = 20,567,011,500.90/201,264.96
  6. Step 6: Final answer
    x = 102,188.73

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