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Finding the Fourth Proportional to 105,107.14, 145,051.25 and 59,783.96

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Solution

The fourth proportional to 105,107.14, 145,051.25 and 59,783.96 is: 82,503.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,107.14 : 145,051.25 = 59,783.96 : x
  2. Step 2: Convert to fraction form
    105,107.14/145,051.25 = 59,783.96/x
  3. Step 3: Cross multiply
    105,107.14x = 145,051.25 × 59,783.96
  4. Step 4: Simplify right side
    105,107.14x = 8,671,737,103.77
  5. Step 5: Solve for x
    x = 8,671,737,103.77/105,107.14
  6. Step 6: Final answer
    x = 82,503.79

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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.