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Finding the Fourth Proportional to 218,920.49, 302,098.53 and 123,421.02

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Solution

The fourth proportional to 218,920.49, 302,098.53 and 123,421.02 is: 170,314.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,920.49 : 302,098.53 = 123,421.02 : x
  2. Step 2: Convert to fraction form
    218,920.49/302,098.53 = 123,421.02/x
  3. Step 3: Cross multiply
    218,920.49x = 302,098.53 × 123,421.02
  4. Step 4: Simplify right side
    218,920.49x = 37,285,308,713.10
  5. Step 5: Solve for x
    x = 37,285,308,713.10/218,920.49
  6. Step 6: Final answer
    x = 170,314.39

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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.