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Finding the Fourth Proportional to 105,347.80, 145,394.21 and 59,416.88

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Solution

The fourth proportional to 105,347.80, 145,394.21 and 59,416.88 is: 82,003.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,347.80 : 145,394.21 = 59,416.88 : x
  2. Step 2: Convert to fraction form
    105,347.80/145,394.21 = 59,416.88/x
  3. Step 3: Cross multiply
    105,347.80x = 145,394.21 × 59,416.88
  4. Step 4: Simplify right side
    105,347.80x = 8,638,870,893.04
  5. Step 5: Solve for x
    x = 8,638,870,893.04/105,347.80
  6. Step 6: Final answer
    x = 82,003.33

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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.