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Finding the Fourth Proportional to 205,833.80, 308,773.38 and 65,560.16

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Solution

The fourth proportional to 205,833.80, 308,773.38 and 65,560.16 is: 98,347.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,833.80 : 308,773.38 = 65,560.16 : x
  2. Step 2: Convert to fraction form
    205,833.80/308,773.38 = 65,560.16/x
  3. Step 3: Cross multiply
    205,833.80x = 308,773.38 × 65,560.16
  4. Step 4: Simplify right side
    205,833.80x = 20,243,232,196.54
  5. Step 5: Solve for x
    x = 20,243,232,196.54/205,833.80
  6. Step 6: Final answer
    x = 98,347.46

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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.