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Finding the Fourth Proportional to 223,684, 308,686.08 and 123,084.16

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Solution

The fourth proportional to 223,684, 308,686.08 and 123,084.16 is: 169,857.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,684 : 308,686.08 = 123,084.16 : x
  2. Step 2: Convert to fraction form
    223,684/308,686.08 = 123,084.16/x
  3. Step 3: Cross multiply
    223,684x = 308,686.08 × 123,084.16
  4. Step 4: Simplify right side
    223,684x = 37,994,366,860.49
  5. Step 5: Solve for x
    x = 37,994,366,860.49/223,684
  6. Step 6: Final answer
    x = 169,857.33

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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.