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Finding the Fourth Proportional to 186,094.38, 256,811.46 and 101,212.06

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Solution

The fourth proportional to 186,094.38, 256,811.46 and 101,212.06 is: 139,673.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,094.38 : 256,811.46 = 101,212.06 : x
  2. Step 2: Convert to fraction form
    186,094.38/256,811.46 = 101,212.06/x
  3. Step 3: Cross multiply
    186,094.38x = 256,811.46 × 101,212.06
  4. Step 4: Simplify right side
    186,094.38x = 25,992,416,898.21
  5. Step 5: Solve for x
    x = 25,992,416,898.21/186,094.38
  6. Step 6: Final answer
    x = 139,673.30

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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.