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Finding the Fourth Proportional to 98,204, 135,521.52 and 53,492

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Solution

The fourth proportional to 98,204, 135,521.52 and 53,492 is: 73,818.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,204 : 135,521.52 = 53,492 : x
  2. Step 2: Convert to fraction form
    98,204/135,521.52 = 53,492/x
  3. Step 3: Cross multiply
    98,204x = 135,521.52 × 53,492
  4. Step 4: Simplify right side
    98,204x = 7,249,317,147.84
  5. Step 5: Solve for x
    x = 7,249,317,147.84/98,204
  6. Step 6: Final answer
    x = 73,818.96

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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.