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Finding the Fourth Proportional to 123,463.92, 185,194.80 and 29,969.76

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Solution

The fourth proportional to 123,463.92, 185,194.80 and 29,969.76 is: 44,954.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,463.92 : 185,194.80 = 29,969.76 : x
  2. Step 2: Convert to fraction form
    123,463.92/185,194.80 = 29,969.76/x
  3. Step 3: Cross multiply
    123,463.92x = 185,194.80 × 29,969.76
  4. Step 4: Simplify right side
    123,463.92x = 5,550,243,709.25
  5. Step 5: Solve for x
    x = 5,550,243,709.25/123,463.92
  6. Step 6: Final answer
    x = 44,954.38

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1.5x scale

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.