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Finding the Fourth Proportional to 196,703.01, 295,114.65 and 82,909.74

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Solution

The fourth proportional to 196,703.01, 295,114.65 and 82,909.74 is: 124,389.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,703.01 : 295,114.65 = 82,909.74 : x
  2. Step 2: Convert to fraction form
    196,703.01/295,114.65 = 82,909.74/x
  3. Step 3: Cross multiply
    196,703.01x = 295,114.65 × 82,909.74
  4. Step 4: Simplify right side
    196,703.01x = 24,467,878,901.69
  5. Step 5: Solve for x
    x = 24,467,878,901.69/196,703.01
  6. Step 6: Final answer
    x = 124,389.96

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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.