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Finding the Fourth Proportional to 268,564.82, 402,873.53 and 97,832.93

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Solution

The fourth proportional to 268,564.82, 402,873.53 and 97,832.93 is: 146,758.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,564.82 : 402,873.53 = 97,832.93 : x
  2. Step 2: Convert to fraction form
    268,564.82/402,873.53 = 97,832.93/x
  3. Step 3: Cross multiply
    268,564.82x = 402,873.53 × 97,832.93
  4. Step 4: Simplify right side
    268,564.82x = 39,414,295,355.81
  5. Step 5: Solve for x
    x = 39,414,295,355.81/268,564.82
  6. Step 6: Final answer
    x = 146,758.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.