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Finding the Fourth Proportional to 241,585, 362,441.82 and 83,813.20

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Solution

The fourth proportional to 241,585, 362,441.82 and 83,813.20 is: 125,742.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,585 : 362,441.82 = 83,813.20 : x
  2. Step 2: Convert to fraction form
    241,585/362,441.82 = 83,813.20/x
  3. Step 3: Cross multiply
    241,585x = 362,441.82 × 83,813.20
  4. Step 4: Simplify right side
    241,585x = 30,377,408,748.02
  5. Step 5: Solve for x
    x = 30,377,408,748.02/241,585
  6. Step 6: Final answer
    x = 125,742.11

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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.