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Finding the Fourth Proportional to 196,854.92, 295,306.76 and 70,508.74

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Solution

The fourth proportional to 196,854.92, 295,306.76 and 70,508.74 is: 105,771.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,854.92 : 295,306.76 = 70,508.74 : x
  2. Step 2: Convert to fraction form
    196,854.92/295,306.76 = 70,508.74/x
  3. Step 3: Cross multiply
    196,854.92x = 295,306.76 × 70,508.74
  4. Step 4: Simplify right side
    196,854.92x = 20,821,707,561.08
  5. Step 5: Solve for x
    x = 20,821,707,561.08/196,854.92
  6. Step 6: Final answer
    x = 105,771.84

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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.