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Finding the Fourth Proportional to 136,142.84, 204,214.26 and 62,219

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Solution

The fourth proportional to 136,142.84, 204,214.26 and 62,219 is: 93,328.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,142.84 : 204,214.26 = 62,219 : x
  2. Step 2: Convert to fraction form
    136,142.84/204,214.26 = 62,219/x
  3. Step 3: Cross multiply
    136,142.84x = 204,214.26 × 62,219
  4. Step 4: Simplify right side
    136,142.84x = 12,706,007,042.94
  5. Step 5: Solve for x
    x = 12,706,007,042.94/136,142.84
  6. Step 6: Final answer
    x = 93,328.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.