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Finding the Fourth Proportional to 186,094.81, 256,810.12 and 101,213.29

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Solution

The fourth proportional to 186,094.81, 256,810.12 and 101,213.29 is: 139,673.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,094.81 : 256,810.12 = 101,213.29 : x
  2. Step 2: Convert to fraction form
    186,094.81/256,810.12 = 101,213.29/x
  3. Step 3: Cross multiply
    186,094.81x = 256,810.12 × 101,213.29
  4. Step 4: Simplify right side
    186,094.81x = 25,992,597,150.49
  5. Step 5: Solve for x
    x = 25,992,597,150.49/186,094.81
  6. Step 6: Final answer
    x = 139,673.95

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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.