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Finding the Fourth Proportional to 105,907.29, 158,897.39 and 66,418.17

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Solution

The fourth proportional to 105,907.29, 158,897.39 and 66,418.17 is: 99,650.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,907.29 : 158,897.39 = 66,418.17 : x
  2. Step 2: Convert to fraction form
    105,907.29/158,897.39 = 66,418.17/x
  3. Step 3: Cross multiply
    105,907.29x = 158,897.39 × 66,418.17
  4. Step 4: Simplify right side
    105,907.29x = 10,553,673,861.58
  5. Step 5: Solve for x
    x = 10,553,673,861.58/105,907.29
  6. Step 6: Final answer
    x = 99,650.12

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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.