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Finding the Fourth Proportional to 105,802.25, 158,712.69 and 39,243.11

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Solution

The fourth proportional to 105,802.25, 158,712.69 and 39,243.11 is: 58,868.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,802.25 : 158,712.69 = 39,243.11 : x
  2. Step 2: Convert to fraction form
    105,802.25/158,712.69 = 39,243.11/x
  3. Step 3: Cross multiply
    105,802.25x = 158,712.69 × 39,243.11
  4. Step 4: Simplify right side
    105,802.25x = 6,228,379,552.07
  5. Step 5: Solve for x
    x = 6,228,379,552.07/105,802.25
  6. Step 6: Final answer
    x = 58,868.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.