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Finding the Fourth Proportional to 186,086, 256,798.68 and 101,204.89

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Solution

The fourth proportional to 186,086, 256,798.68 and 101,204.89 is: 139,662.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,086 : 256,798.68 = 101,204.89 : x
  2. Step 2: Convert to fraction form
    186,086/256,798.68 = 101,204.89/x
  3. Step 3: Cross multiply
    186,086x = 256,798.68 × 101,204.89
  4. Step 4: Simplify right side
    186,086x = 25,989,280,877.55
  5. Step 5: Solve for x
    x = 25,989,280,877.55/186,086
  6. Step 6: Final answer
    x = 139,662.74

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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.