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Finding the Fourth Proportional to 202,549.33, 303,888.90 and 141,822.86

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Solution

The fourth proportional to 202,549.33, 303,888.90 and 141,822.86 is: 212,779.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,549.33 : 303,888.90 = 141,822.86 : x
  2. Step 2: Convert to fraction form
    202,549.33/303,888.90 = 141,822.86/x
  3. Step 3: Cross multiply
    202,549.33x = 303,888.90 × 141,822.86
  4. Step 4: Simplify right side
    202,549.33x = 43,098,391,400.81
  5. Step 5: Solve for x
    x = 43,098,391,400.81/202,549.33
  6. Step 6: Final answer
    x = 212,779.73

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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.