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Finding the Fourth Proportional to 106,053.96, 146,200.32 and 74,123.76

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Solution

The fourth proportional to 106,053.96, 146,200.32 and 74,123.76 is: 102,183.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,053.96 : 146,200.32 = 74,123.76 : x
  2. Step 2: Convert to fraction form
    106,053.96/146,200.32 = 74,123.76/x
  3. Step 3: Cross multiply
    106,053.96x = 146,200.32 × 74,123.76
  4. Step 4: Simplify right side
    106,053.96x = 10,836,917,431.60
  5. Step 5: Solve for x
    x = 10,836,917,431.60/106,053.96
  6. Step 6: Final answer
    x = 102,183.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.