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Finding the Fourth Proportional to 156,283, 234,463.38 and 45,475

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Solution

The fourth proportional to 156,283, 234,463.38 and 45,475 is: 68,223.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,283 : 234,463.38 = 45,475 : x
  2. Step 2: Convert to fraction form
    156,283/234,463.38 = 45,475/x
  3. Step 3: Cross multiply
    156,283x = 234,463.38 × 45,475
  4. Step 4: Simplify right side
    156,283x = 10,662,222,205.50
  5. Step 5: Solve for x
    x = 10,662,222,205.50/156,283
  6. Step 6: Final answer
    x = 68,223.81

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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.