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Finding the Fourth Proportional to 186,097.38, 256,815.60 and 101,215.06

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Solution

The fourth proportional to 186,097.38, 256,815.60 and 101,215.06 is: 139,677.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,097.38 : 256,815.60 = 101,215.06 : x
  2. Step 2: Convert to fraction form
    186,097.38/256,815.60 = 101,215.06/x
  3. Step 3: Cross multiply
    186,097.38x = 256,815.60 × 101,215.06
  4. Step 4: Simplify right side
    186,097.38x = 25,993,606,362.94
  5. Step 5: Solve for x
    x = 25,993,606,362.94/186,097.38
  6. Step 6: Final answer
    x = 139,677.44

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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.