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Finding the Fourth Proportional to 223,899.51, 308,654.92 and 170,091.11

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Solution

The fourth proportional to 223,899.51, 308,654.92 and 170,091.11 is: 234,477.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,899.51 : 308,654.92 = 170,091.11 : x
  2. Step 2: Convert to fraction form
    223,899.51/308,654.92 = 170,091.11/x
  3. Step 3: Cross multiply
    223,899.51x = 308,654.92 × 170,091.11
  4. Step 4: Simplify right side
    223,899.51x = 52,499,457,949.76
  5. Step 5: Solve for x
    x = 52,499,457,949.76/223,899.51
  6. Step 6: Final answer
    x = 234,477.77

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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.