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Finding the Fourth Proportional to 146,403.84, 202,037.16 and 79,335.84

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Solution

The fourth proportional to 146,403.84, 202,037.16 and 79,335.84 is: 109,483.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,403.84 : 202,037.16 = 79,335.84 : x
  2. Step 2: Convert to fraction form
    146,403.84/202,037.16 = 79,335.84/x
  3. Step 3: Cross multiply
    146,403.84x = 202,037.16 × 79,335.84
  4. Step 4: Simplify right side
    146,403.84x = 16,028,787,799.81
  5. Step 5: Solve for x
    x = 16,028,787,799.81/146,403.84
  6. Step 6: Final answer
    x = 109,483.38

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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.