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Finding the Fourth Proportional to 106,507.15, 146,977.40 and 58,760.49

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Solution

The fourth proportional to 106,507.15, 146,977.40 and 58,760.49 is: 81,088.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,507.15 : 146,977.40 = 58,760.49 : x
  2. Step 2: Convert to fraction form
    106,507.15/146,977.40 = 58,760.49/x
  3. Step 3: Cross multiply
    106,507.15x = 146,977.40 × 58,760.49
  4. Step 4: Simplify right side
    106,507.15x = 8,636,464,042.93
  5. Step 5: Solve for x
    x = 8,636,464,042.93/106,507.15
  6. Step 6: Final answer
    x = 81,088.12

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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.