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Finding the Fourth Proportional to 189,564.80, 284,352.96 and 64,904

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Solution

The fourth proportional to 189,564.80, 284,352.96 and 64,904 is: 97,357.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,564.80 : 284,352.96 = 64,904 : x
  2. Step 2: Convert to fraction form
    189,564.80/284,352.96 = 64,904/x
  3. Step 3: Cross multiply
    189,564.80x = 284,352.96 × 64,904
  4. Step 4: Simplify right side
    189,564.80x = 18,455,644,515.84
  5. Step 5: Solve for x
    x = 18,455,644,515.84/189,564.80
  6. Step 6: Final answer
    x = 97,357.97

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