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Finding the Fourth Proportional to 103,845, 143,306.10 and 59,141.64

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Solution

The fourth proportional to 103,845, 143,306.10 and 59,141.64 is: 81,615.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,845 : 143,306.10 = 59,141.64 : x
  2. Step 2: Convert to fraction form
    103,845/143,306.10 = 59,141.64/x
  3. Step 3: Cross multiply
    103,845x = 143,306.10 × 59,141.64
  4. Step 4: Simplify right side
    103,845x = 8,475,357,776.00
  5. Step 5: Solve for x
    x = 8,475,357,776.00/103,845
  6. Step 6: Final answer
    x = 81,615.46

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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.