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Finding the Fourth Proportional to 97,204, 134,141.52 and 52,492

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Solution

The fourth proportional to 97,204, 134,141.52 and 52,492 is: 72,438.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,204 : 134,141.52 = 52,492 : x
  2. Step 2: Convert to fraction form
    97,204/134,141.52 = 52,492/x
  3. Step 3: Cross multiply
    97,204x = 134,141.52 × 52,492
  4. Step 4: Simplify right side
    97,204x = 7,041,356,667.84
  5. Step 5: Solve for x
    x = 7,041,356,667.84/97,204
  6. Step 6: Final answer
    x = 72,438.96

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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.