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Finding the Fourth Proportional to 267,568.84, 401,412.42 and 90,070

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Solution

The fourth proportional to 267,568.84, 401,412.42 and 90,070 is: 135,124.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,568.84 : 401,412.42 = 90,070 : x
  2. Step 2: Convert to fraction form
    267,568.84/401,412.42 = 90,070/x
  3. Step 3: Cross multiply
    267,568.84x = 401,412.42 × 90,070
  4. Step 4: Simplify right side
    267,568.84x = 36,155,216,669.40
  5. Step 5: Solve for x
    x = 36,155,216,669.40/267,568.84
  6. Step 6: Final answer
    x = 135,124.91

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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.