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Finding the Fourth Proportional to 168,894.58, 233,042.16 and 96,296.10

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Solution

The fourth proportional to 168,894.58, 233,042.16 and 96,296.10 is: 132,870.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,894.58 : 233,042.16 = 96,296.10 : x
  2. Step 2: Convert to fraction form
    168,894.58/233,042.16 = 96,296.10/x
  3. Step 3: Cross multiply
    168,894.58x = 233,042.16 × 96,296.10
  4. Step 4: Simplify right side
    168,894.58x = 22,441,051,143.58
  5. Step 5: Solve for x
    x = 22,441,051,143.58/168,894.58
  6. Step 6: Final answer
    x = 132,870.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.