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Finding the Fourth Proportional to 202,948.74, 280,181.88 and 122,396.76

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Solution

The fourth proportional to 202,948.74, 280,181.88 and 122,396.76 is: 168,975.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,948.74 : 280,181.88 = 122,396.76 : x
  2. Step 2: Convert to fraction form
    202,948.74/280,181.88 = 122,396.76/x
  3. Step 3: Cross multiply
    202,948.74x = 280,181.88 × 122,396.76
  4. Step 4: Simplify right side
    202,948.74x = 34,293,354,322.71
  5. Step 5: Solve for x
    x = 34,293,354,322.71/202,948.74
  6. Step 6: Final answer
    x = 168,975.45

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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.