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Finding the Fourth Proportional to 97,206, 134,144.28 and 52,494

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Solution

The fourth proportional to 97,206, 134,144.28 and 52,494 is: 72,441.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,206 : 134,144.28 = 52,494 : x
  2. Step 2: Convert to fraction form
    97,206/134,144.28 = 52,494/x
  3. Step 3: Cross multiply
    97,206x = 134,144.28 × 52,494
  4. Step 4: Simplify right side
    97,206x = 7,041,769,834.32
  5. Step 5: Solve for x
    x = 7,041,769,834.32/97,206
  6. Step 6: Final answer
    x = 72,441.72

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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.