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Finding the Fourth Proportional to 186,096.38, 256,814.22 and 101,214.06

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Solution

The fourth proportional to 186,096.38, 256,814.22 and 101,214.06 is: 139,676.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,096.38 : 256,814.22 = 101,214.06 : x
  2. Step 2: Convert to fraction form
    186,096.38/256,814.22 = 101,214.06/x
  3. Step 3: Cross multiply
    186,096.38x = 256,814.22 × 101,214.06
  4. Step 4: Simplify right side
    186,096.38x = 25,993,209,871.93
  5. Step 5: Solve for x
    x = 25,993,209,871.93/186,096.38
  6. Step 6: Final answer
    x = 139,676.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.