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Finding the Fourth Proportional to 92,286, 138,334.43 and 70,052.31

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Solution

The fourth proportional to 92,286, 138,334.43 and 70,052.31 is: 105,006.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,286 : 138,334.43 = 70,052.31 : x
  2. Step 2: Convert to fraction form
    92,286/138,334.43 = 70,052.31/x
  3. Step 3: Cross multiply
    92,286x = 138,334.43 × 70,052.31
  4. Step 4: Simplify right side
    92,286x = 9,690,646,549.16
  5. Step 5: Solve for x
    x = 9,690,646,549.16/92,286
  6. Step 6: Final answer
    x = 105,006.68

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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.