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Finding the Fourth Proportional to 105,212.98, 145,188.03 and 59,902.03

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Solution

The fourth proportional to 105,212.98, 145,188.03 and 59,902.03 is: 82,661.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,212.98 : 145,188.03 = 59,902.03 : x
  2. Step 2: Convert to fraction form
    105,212.98/145,188.03 = 59,902.03/x
  3. Step 3: Cross multiply
    105,212.98x = 145,188.03 × 59,902.03
  4. Step 4: Simplify right side
    105,212.98x = 8,697,057,728.70
  5. Step 5: Solve for x
    x = 8,697,057,728.70/105,212.98
  6. Step 6: Final answer
    x = 82,661.45

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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.