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Finding the Fourth Proportional to 270,118.19, 405,205.54 and 92,639.50

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Solution

The fourth proportional to 270,118.19, 405,205.54 and 92,639.50 is: 138,968.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,118.19 : 405,205.54 = 92,639.50 : x
  2. Step 2: Convert to fraction form
    270,118.19/405,205.54 = 92,639.50/x
  3. Step 3: Cross multiply
    270,118.19x = 405,205.54 × 92,639.50
  4. Step 4: Simplify right side
    270,118.19x = 37,538,037,378.22
  5. Step 5: Solve for x
    x = 37,538,037,378.22/270,118.19
  6. Step 6: Final answer
    x = 138,968.93

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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.