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Finding the Fourth Proportional to 202,108.65, 303,162.98 and 83,740.65

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Solution

The fourth proportional to 202,108.65, 303,162.98 and 83,740.65 is: 125,610.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,108.65 : 303,162.98 = 83,740.65 : x
  2. Step 2: Convert to fraction form
    202,108.65/303,162.98 = 83,740.65/x
  3. Step 3: Cross multiply
    202,108.65x = 303,162.98 × 83,740.65
  4. Step 4: Simplify right side
    202,108.65x = 25,387,064,582.43
  5. Step 5: Solve for x
    x = 25,387,064,582.43/202,108.65
  6. Step 6: Final answer
    x = 125,610.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.