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Finding the Fourth Proportional to 196,530.84, 294,549.57 and 84,078.90

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Solution

The fourth proportional to 196,530.84, 294,549.57 and 84,078.90 is: 126,012.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,530.84 : 294,549.57 = 84,078.90 : x
  2. Step 2: Convert to fraction form
    196,530.84/294,549.57 = 84,078.90/x
  3. Step 3: Cross multiply
    196,530.84x = 294,549.57 × 84,078.90
  4. Step 4: Simplify right side
    196,530.84x = 24,765,403,841.07
  5. Step 5: Solve for x
    x = 24,765,403,841.07/196,530.84
  6. Step 6: Final answer
    x = 126,012.81

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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.