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Finding the Fourth Proportional to 105,206, 145,188.60 and 60,494

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Solution

The fourth proportional to 105,206, 145,188.60 and 60,494 is: 83,484.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,206 : 145,188.60 = 60,494 : x
  2. Step 2: Convert to fraction form
    105,206/145,188.60 = 60,494/x
  3. Step 3: Cross multiply
    105,206x = 145,188.60 × 60,494
  4. Step 4: Simplify right side
    105,206x = 8,783,039,168.40
  5. Step 5: Solve for x
    x = 8,783,039,168.40/105,206
  6. Step 6: Final answer
    x = 83,484.20

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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.