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Finding the Fourth Proportional to 105,838, 146,051.15 and 62,819.36

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Solution

The fourth proportional to 105,838, 146,051.15 and 62,819.36 is: 86,687.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,838 : 146,051.15 = 62,819.36 : x
  2. Step 2: Convert to fraction form
    105,838/146,051.15 = 62,819.36/x
  3. Step 3: Cross multiply
    105,838x = 146,051.15 × 62,819.36
  4. Step 4: Simplify right side
    105,838x = 9,174,840,292.44
  5. Step 5: Solve for x
    x = 9,174,840,292.44/105,838
  6. Step 6: Final answer
    x = 86,687.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.