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Finding the Fourth Proportional to 105,212, 145,192.56 and 60,500

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Solution

The fourth proportional to 105,212, 145,192.56 and 60,500 is: 83,490

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,212 : 145,192.56 = 60,500 : x
  2. Step 2: Convert to fraction form
    105,212/145,192.56 = 60,500/x
  3. Step 3: Cross multiply
    105,212x = 145,192.56 × 60,500
  4. Step 4: Simplify right side
    105,212x = 8,784,149,880
  5. Step 5: Solve for x
    x = 8,784,149,880/105,212
  6. Step 6: Final answer
    x = 83,490

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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.