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Finding the Fourth Proportional to 106,221.84, 146,585.34 and 58,476

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Solution

The fourth proportional to 106,221.84, 146,585.34 and 58,476 is: 80,696.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,221.84 : 146,585.34 = 58,476 : x
  2. Step 2: Convert to fraction form
    106,221.84/146,585.34 = 58,476/x
  3. Step 3: Cross multiply
    106,221.84x = 146,585.34 × 58,476
  4. Step 4: Simplify right side
    106,221.84x = 8,571,724,341.84
  5. Step 5: Solve for x
    x = 8,571,724,341.84/106,221.84
  6. Step 6: Final answer
    x = 80,696.44

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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.