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Finding the Fourth Proportional to 174,339.84, 261,284.94 and 84,361.40

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Solution

The fourth proportional to 174,339.84, 261,284.94 and 84,361.40 is: 126,433.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,339.84 : 261,284.94 = 84,361.40 : x
  2. Step 2: Convert to fraction form
    174,339.84/261,284.94 = 84,361.40/x
  3. Step 3: Cross multiply
    174,339.84x = 261,284.94 × 84,361.40
  4. Step 4: Simplify right side
    174,339.84x = 22,042,363,337.32
  5. Step 5: Solve for x
    x = 22,042,363,337.32/174,339.84
  6. Step 6: Final answer
    x = 126,433.31

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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.