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Finding the Fourth Proportional to 196,177.86, 294,007.59 and 71,398.98

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Solution

The fourth proportional to 196,177.86, 294,007.59 and 71,398.98 is: 107,004.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,177.86 : 294,007.59 = 71,398.98 : x
  2. Step 2: Convert to fraction form
    196,177.86/294,007.59 = 71,398.98/x
  3. Step 3: Cross multiply
    196,177.86x = 294,007.59 × 71,398.98
  4. Step 4: Simplify right side
    196,177.86x = 20,991,842,038.26
  5. Step 5: Solve for x
    x = 20,991,842,038.26/196,177.86
  6. Step 6: Final answer
    x = 107,004.13

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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.