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Finding the Fourth Proportional to 218,901.24, 302,059.80 and 123,411.96

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Solution

The fourth proportional to 218,901.24, 302,059.80 and 123,411.96 is: 170,295.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,901.24 : 302,059.80 = 123,411.96 : x
  2. Step 2: Convert to fraction form
    218,901.24/302,059.80 = 123,411.96/x
  3. Step 3: Cross multiply
    218,901.24x = 302,059.80 × 123,411.96
  4. Step 4: Simplify right side
    218,901.24x = 37,277,791,955.21
  5. Step 5: Solve for x
    x = 37,277,791,955.21/218,901.24
  6. Step 6: Final answer
    x = 170,295.02

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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.