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Finding the Fourth Proportional to 223,704, 308,713.68 and 123,104.16

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Solution

The fourth proportional to 223,704, 308,713.68 and 123,104.16 is: 169,884.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,704 : 308,713.68 = 123,104.16 : x
  2. Step 2: Convert to fraction form
    223,704/308,713.68 = 123,104.16/x
  3. Step 3: Cross multiply
    223,704x = 308,713.68 × 123,104.16
  4. Step 4: Simplify right side
    223,704x = 38,003,938,256.91
  5. Step 5: Solve for x
    x = 38,003,938,256.91/223,704
  6. Step 6: Final answer
    x = 169,884.93

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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.