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Finding the Fourth Proportional to 267,815.94, 401,716.50 and 99,316.71

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Solution

The fourth proportional to 267,815.94, 401,716.50 and 99,316.71 is: 148,972.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,815.94 : 401,716.50 = 99,316.71 : x
  2. Step 2: Convert to fraction form
    267,815.94/401,716.50 = 99,316.71/x
  3. Step 3: Cross multiply
    267,815.94x = 401,716.50 × 99,316.71
  4. Step 4: Simplify right side
    267,815.94x = 39,897,161,132.72
  5. Step 5: Solve for x
    x = 39,897,161,132.72/267,815.94
  6. Step 6: Final answer
    x = 148,972.32

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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.