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Finding the Fourth Proportional to 122,218.14, 168,345.54 and 86,345.88

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Solution

The fourth proportional to 122,218.14, 168,345.54 and 86,345.88 is: 118,934.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,218.14 : 168,345.54 = 86,345.88 : x
  2. Step 2: Convert to fraction form
    122,218.14/168,345.54 = 86,345.88/x
  3. Step 3: Cross multiply
    122,218.14x = 168,345.54 × 86,345.88
  4. Step 4: Simplify right side
    122,218.14x = 14,535,943,795.38
  5. Step 5: Solve for x
    x = 14,535,943,795.38/122,218.14
  6. Step 6: Final answer
    x = 118,934.42

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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.