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Finding the Fourth Proportional to 262,703.25, 362,530.89 and 149,526

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Solution

The fourth proportional to 262,703.25, 362,530.89 and 149,526 is: 206,346.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,703.25 : 362,530.89 = 149,526 : x
  2. Step 2: Convert to fraction form
    262,703.25/362,530.89 = 149,526/x
  3. Step 3: Cross multiply
    262,703.25x = 362,530.89 × 149,526
  4. Step 4: Simplify right side
    262,703.25x = 54,207,793,858.14
  5. Step 5: Solve for x
    x = 54,207,793,858.14/262,703.25
  6. Step 6: Final answer
    x = 206,346.11

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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.