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Finding the Fourth Proportional to 100,477.85, 138,654.26 and 59,643.69

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Solution

The fourth proportional to 100,477.85, 138,654.26 and 59,643.69 is: 82,305.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,477.85 : 138,654.26 = 59,643.69 : x
  2. Step 2: Convert to fraction form
    100,477.85/138,654.26 = 59,643.69/x
  3. Step 3: Cross multiply
    100,477.85x = 138,654.26 × 59,643.69
  4. Step 4: Simplify right side
    100,477.85x = 8,269,852,146.02
  5. Step 5: Solve for x
    x = 8,269,852,146.02/100,477.85
  6. Step 6: Final answer
    x = 82,305.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.