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Finding the Fourth Proportional to 264,127.50, 396,249.57 and 97,915.50

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Solution

The fourth proportional to 264,127.50, 396,249.57 and 97,915.50 is: 146,894.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,127.50 : 396,249.57 = 97,915.50 : x
  2. Step 2: Convert to fraction form
    264,127.50/396,249.57 = 97,915.50/x
  3. Step 3: Cross multiply
    264,127.50x = 396,249.57 × 97,915.50
  4. Step 4: Simplify right side
    264,127.50x = 38,798,974,771.34
  5. Step 5: Solve for x
    x = 38,798,974,771.34/264,127.50
  6. Step 6: Final answer
    x = 146,894.87

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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.