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Finding the Fourth Proportional to 167,411.63, 250,903.85 and 78,469.17

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Solution

The fourth proportional to 167,411.63, 250,903.85 and 78,469.17 is: 117,603.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,411.63 : 250,903.85 = 78,469.17 : x
  2. Step 2: Convert to fraction form
    167,411.63/250,903.85 = 78,469.17/x
  3. Step 3: Cross multiply
    167,411.63x = 250,903.85 × 78,469.17
  4. Step 4: Simplify right side
    167,411.63x = 19,688,216,466.96
  5. Step 5: Solve for x
    x = 19,688,216,466.96/167,411.63
  6. Step 6: Final answer
    x = 117,603.64

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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.