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Finding the Fourth Proportional to 106,508.04, 146,978.61 and 58,761.36

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Solution

The fourth proportional to 106,508.04, 146,978.61 and 58,761.36 is: 81,089.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,508.04 : 146,978.61 = 58,761.36 : x
  2. Step 2: Convert to fraction form
    106,508.04/146,978.61 = 58,761.36/x
  3. Step 3: Cross multiply
    106,508.04x = 146,978.61 × 58,761.36
  4. Step 4: Simplify right side
    106,508.04x = 8,636,663,014.51
  5. Step 5: Solve for x
    x = 8,636,663,014.51/106,508.04
  6. Step 6: Final answer
    x = 81,089.31

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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.