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Finding the Fourth Proportional to 122,218.64, 168,346.23 and 86,346.38

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Solution

The fourth proportional to 122,218.64, 168,346.23 and 86,346.38 is: 118,935.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,218.64 : 168,346.23 = 86,346.38 : x
  2. Step 2: Convert to fraction form
    122,218.64/168,346.23 = 86,346.38/x
  3. Step 3: Cross multiply
    122,218.64x = 168,346.23 × 86,346.38
  4. Step 4: Simplify right side
    122,218.64x = 14,536,087,547.15
  5. Step 5: Solve for x
    x = 14,536,087,547.15/122,218.64
  6. Step 6: Final answer
    x = 118,935.11

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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.