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Finding the Fourth Proportional to 105,218.69, 157,836.27 and 35,097.94

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Solution

The fourth proportional to 105,218.69, 157,836.27 and 35,097.94 is: 52,649.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,218.69 : 157,836.27 = 35,097.94 : x
  2. Step 2: Convert to fraction form
    105,218.69/157,836.27 = 35,097.94/x
  3. Step 3: Cross multiply
    105,218.69x = 157,836.27 × 35,097.94
  4. Step 4: Simplify right side
    105,218.69x = 5,539,727,145.10
  5. Step 5: Solve for x
    x = 5,539,727,145.10/105,218.69
  6. Step 6: Final answer
    x = 52,649.65

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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.