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Finding the Fourth Proportional to 83,933.60, 117,714.40 and 83,933.60

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Solution

The fourth proportional to 83,933.60, 117,714.40 and 83,933.60 is: 117,714.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,933.60 : 117,714.40 = 83,933.60 : x
  2. Step 2: Convert to fraction form
    83,933.60/117,714.40 = 83,933.60/x
  3. Step 3: Cross multiply
    83,933.60x = 117,714.40 × 83,933.60
  4. Step 4: Simplify right side
    83,933.60x = 9,880,193,363.84
  5. Step 5: Solve for x
    x = 9,880,193,363.84/83,933.60
  6. Step 6: Final answer
    x = 117,714.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.