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Finding the Fourth Proportional to 117,291.84, 175,938.06 and 82,387.32

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Solution

The fourth proportional to 117,291.84, 175,938.06 and 82,387.32 is: 123,581.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,291.84 : 175,938.06 = 82,387.32 : x
  2. Step 2: Convert to fraction form
    117,291.84/175,938.06 = 82,387.32/x
  3. Step 3: Cross multiply
    117,291.84x = 175,938.06 × 82,387.32
  4. Step 4: Simplify right side
    117,291.84x = 14,495,065,249.40
  5. Step 5: Solve for x
    x = 14,495,065,249.40/117,291.84
  6. Step 6: Final answer
    x = 123,581.19

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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.