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Finding the Fourth Proportional to 196,217.40, 294,347.70 and 71,585.40

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Solution

The fourth proportional to 196,217.40, 294,347.70 and 71,585.40 is: 107,385.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,217.40 : 294,347.70 = 71,585.40 : x
  2. Step 2: Convert to fraction form
    196,217.40/294,347.70 = 71,585.40/x
  3. Step 3: Cross multiply
    196,217.40x = 294,347.70 × 71,585.40
  4. Step 4: Simplify right side
    196,217.40x = 21,070,997,843.58
  5. Step 5: Solve for x
    x = 21,070,997,843.58/196,217.40
  6. Step 6: Final answer
    x = 107,385.98

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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.