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Finding the Fourth Proportional to 97,246, 134,196.12 and 54,802

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Solution

The fourth proportional to 97,246, 134,196.12 and 54,802 is: 75,624.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,246 : 134,196.12 = 54,802 : x
  2. Step 2: Convert to fraction form
    97,246/134,196.12 = 54,802/x
  3. Step 3: Cross multiply
    97,246x = 134,196.12 × 54,802
  4. Step 4: Simplify right side
    97,246x = 7,354,215,768.24
  5. Step 5: Solve for x
    x = 7,354,215,768.24/97,246
  6. Step 6: Final answer
    x = 75,624.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.