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Finding the Fourth Proportional to 102,784.68, 154,254.92 and 43,661.84

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Solution

The fourth proportional to 102,784.68, 154,254.92 and 43,661.84 is: 65,525.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,784.68 : 154,254.92 = 43,661.84 : x
  2. Step 2: Convert to fraction form
    102,784.68/154,254.92 = 43,661.84/x
  3. Step 3: Cross multiply
    102,784.68x = 154,254.92 × 43,661.84
  4. Step 4: Simplify right side
    102,784.68x = 6,735,052,646.67
  5. Step 5: Solve for x
    x = 6,735,052,646.67/102,784.68
  6. Step 6: Final answer
    x = 65,525.84

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Why These Related Problems?

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