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Finding the Fourth Proportional to 117,046.40, 175,310.40 and 96,310.40

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Solution

The fourth proportional to 117,046.40, 175,310.40 and 96,310.40 is: 144,252.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,046.40 : 175,310.40 = 96,310.40 : x
  2. Step 2: Convert to fraction form
    117,046.40/175,310.40 = 96,310.40/x
  3. Step 3: Cross multiply
    117,046.40x = 175,310.40 × 96,310.40
  4. Step 4: Simplify right side
    117,046.40x = 16,884,214,748.16
  5. Step 5: Solve for x
    x = 16,884,214,748.16/117,046.40
  6. Step 6: Final answer
    x = 144,252.32

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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.