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Finding the Fourth Proportional to 102,186.24, 153,293.78 and 35,616.64

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Solution

The fourth proportional to 102,186.24, 153,293.78 and 35,616.64 is: 53,429.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,186.24 : 153,293.78 = 35,616.64 : x
  2. Step 2: Convert to fraction form
    102,186.24/153,293.78 = 35,616.64/x
  3. Step 3: Cross multiply
    102,186.24x = 153,293.78 × 35,616.64
  4. Step 4: Simplify right side
    102,186.24x = 5,459,809,376.50
  5. Step 5: Solve for x
    x = 5,459,809,376.50/102,186.24
  6. Step 6: Final answer
    x = 53,429.99

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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.