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Finding the Fourth Proportional to 97,974, 135,205.08 and 53,262.96

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Solution

The fourth proportional to 97,974, 135,205.08 and 53,262.96 is: 73,503.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,974 : 135,205.08 = 53,262.96 : x
  2. Step 2: Convert to fraction form
    97,974/135,205.08 = 53,262.96/x
  3. Step 3: Cross multiply
    97,974x = 135,205.08 × 53,262.96
  4. Step 4: Simplify right side
    97,974x = 7,201,422,767.84
  5. Step 5: Solve for x
    x = 7,201,422,767.84/97,974
  6. Step 6: Final answer
    x = 73,503.41

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1.5x scale

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.