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Finding the Fourth Proportional to 106,284, 146,678.58 and 58,537.34

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Solution

The fourth proportional to 106,284, 146,678.58 and 58,537.34 is: 80,785.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,284 : 146,678.58 = 58,537.34 : x
  2. Step 2: Convert to fraction form
    106,284/146,678.58 = 58,537.34/x
  3. Step 3: Cross multiply
    106,284x = 146,678.58 × 58,537.34
  4. Step 4: Simplify right side
    106,284x = 8,586,172,882.10
  5. Step 5: Solve for x
    x = 8,586,172,882.10/106,284
  6. Step 6: Final answer
    x = 80,785.19

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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.