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Finding the Fourth Proportional to 196,584.96, 294,875 and 138,643.60

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Solution

The fourth proportional to 196,584.96, 294,875 and 138,643.60 is: 207,963.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,584.96 : 294,875 = 138,643.60 : x
  2. Step 2: Convert to fraction form
    196,584.96/294,875 = 138,643.60/x
  3. Step 3: Cross multiply
    196,584.96x = 294,875 × 138,643.60
  4. Step 4: Simplify right side
    196,584.96x = 40,882,531,550
  5. Step 5: Solve for x
    x = 40,882,531,550/196,584.96
  6. Step 6: Final answer
    x = 207,963.68

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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.