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Finding the Fourth Proportional to 183,200.70, 274,801.05 and 112,341.90

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Solution

The fourth proportional to 183,200.70, 274,801.05 and 112,341.90 is: 168,512.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,200.70 : 274,801.05 = 112,341.90 : x
  2. Step 2: Convert to fraction form
    183,200.70/274,801.05 = 112,341.90/x
  3. Step 3: Cross multiply
    183,200.70x = 274,801.05 × 112,341.90
  4. Step 4: Simplify right side
    183,200.70x = 30,871,672,079.00
  5. Step 5: Solve for x
    x = 30,871,672,079.00/183,200.70
  6. Step 6: Final answer
    x = 168,512.85

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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.