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Finding the Fourth Proportional to 107,202.51, 147,939.21 and 59,463

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Solution

The fourth proportional to 107,202.51, 147,939.21 and 59,463 is: 82,058.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,202.51 : 147,939.21 = 59,463 : x
  2. Step 2: Convert to fraction form
    107,202.51/147,939.21 = 59,463/x
  3. Step 3: Cross multiply
    107,202.51x = 147,939.21 × 59,463
  4. Step 4: Simplify right side
    107,202.51x = 8,796,909,244.23
  5. Step 5: Solve for x
    x = 8,796,909,244.23/107,202.51
  6. Step 6: Final answer
    x = 82,058.80

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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.