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Finding the Fourth Proportional to 218,316.20, 301,275.90 and 122,823

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Solution

The fourth proportional to 218,316.20, 301,275.90 and 122,823 is: 169,495.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,316.20 : 301,275.90 = 122,823 : x
  2. Step 2: Convert to fraction form
    218,316.20/301,275.90 = 122,823/x
  3. Step 3: Cross multiply
    218,316.20x = 301,275.90 × 122,823
  4. Step 4: Simplify right side
    218,316.20x = 37,003,609,865.70
  5. Step 5: Solve for x
    x = 37,003,609,865.70/218,316.20
  6. Step 6: Final answer
    x = 169,495.49

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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.