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Finding the Fourth Proportional to 186,004.38, 256,688.97 and 101,121.78

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Solution

The fourth proportional to 186,004.38, 256,688.97 and 101,121.78 is: 139,549.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,004.38 : 256,688.97 = 101,121.78 : x
  2. Step 2: Convert to fraction form
    186,004.38/256,688.97 = 101,121.78/x
  3. Step 3: Cross multiply
    186,004.38x = 256,688.97 × 101,121.78
  4. Step 4: Simplify right side
    186,004.38x = 25,956,845,552.77
  5. Step 5: Solve for x
    x = 25,956,845,552.77/186,004.38
  6. Step 6: Final answer
    x = 139,549.65

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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.