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Finding the Fourth Proportional to 197,677.58, 296,513.72 and 47,919.16

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Solution

The fourth proportional to 197,677.58, 296,513.72 and 47,919.16 is: 71,878.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,677.58 : 296,513.72 = 47,919.16 : x
  2. Step 2: Convert to fraction form
    197,677.58/296,513.72 = 47,919.16/x
  3. Step 3: Cross multiply
    197,677.58x = 296,513.72 × 47,919.16
  4. Step 4: Simplify right side
    197,677.58x = 14,208,689,209.15
  5. Step 5: Solve for x
    x = 14,208,689,209.15/197,677.58
  6. Step 6: Final answer
    x = 71,878.10

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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.