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Finding the Fourth Proportional to 186,206, 256,962.12 and 101,321.60

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Solution

The fourth proportional to 186,206, 256,962.12 and 101,321.60 is: 139,822.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,206 : 256,962.12 = 101,321.60 : x
  2. Step 2: Convert to fraction form
    186,206/256,962.12 = 101,321.60/x
  3. Step 3: Cross multiply
    186,206x = 256,962.12 × 101,321.60
  4. Step 4: Simplify right side
    186,206x = 26,035,813,137.79
  5. Step 5: Solve for x
    x = 26,035,813,137.79/186,206
  6. Step 6: Final answer
    x = 139,822.63

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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.