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Finding the Fourth Proportional to 196,070.50, 294,149.49 and 71,411.50

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Solution

The fourth proportional to 196,070.50, 294,149.49 and 71,411.50 is: 107,133.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,070.50 : 294,149.49 = 71,411.50 : x
  2. Step 2: Convert to fraction form
    196,070.50/294,149.49 = 71,411.50/x
  3. Step 3: Cross multiply
    196,070.50x = 294,149.49 × 71,411.50
  4. Step 4: Simplify right side
    196,070.50x = 21,005,656,305.14
  5. Step 5: Solve for x
    x = 21,005,656,305.14/196,070.50
  6. Step 6: Final answer
    x = 107,133.18

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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.