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Finding the Fourth Proportional to 97,206.50, 134,144.97 and 52,494.50

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Solution

The fourth proportional to 97,206.50, 134,144.97 and 52,494.50 is: 72,442.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,206.50 : 134,144.97 = 52,494.50 : x
  2. Step 2: Convert to fraction form
    97,206.50/134,144.97 = 52,494.50/x
  3. Step 3: Cross multiply
    97,206.50x = 134,144.97 × 52,494.50
  4. Step 4: Simplify right side
    97,206.50x = 7,041,873,127.67
  5. Step 5: Solve for x
    x = 7,041,873,127.67/97,206.50
  6. Step 6: Final answer
    x = 72,442.41

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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.