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Finding the Fourth Proportional to 223,821.72, 308,875.14 and 123,219.72

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Solution

The fourth proportional to 223,821.72, 308,875.14 and 123,219.72 is: 170,043.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,821.72 : 308,875.14 = 123,219.72 : x
  2. Step 2: Convert to fraction form
    223,821.72/308,875.14 = 123,219.72/x
  3. Step 3: Cross multiply
    223,821.72x = 308,875.14 × 123,219.72
  4. Step 4: Simplify right side
    223,821.72x = 38,059,508,265.76
  5. Step 5: Solve for x
    x = 38,059,508,265.76/223,821.72
  6. Step 6: Final answer
    x = 170,043.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.