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Finding the Fourth Proportional to 204,322.78, 306,471.71 and 97,782.47

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Solution

The fourth proportional to 204,322.78, 306,471.71 and 97,782.47 is: 146,667.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,322.78 : 306,471.71 = 97,782.47 : x
  2. Step 2: Convert to fraction form
    204,322.78/306,471.71 = 97,782.47/x
  3. Step 3: Cross multiply
    204,322.78x = 306,471.71 × 97,782.47
  4. Step 4: Simplify right side
    204,322.78x = 29,967,559,501.02
  5. Step 5: Solve for x
    x = 29,967,559,501.02/204,322.78
  6. Step 6: Final answer
    x = 146,667.74

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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.