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Finding the Fourth Proportional to 186,302, 257,096.76 and 101,414

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Solution

The fourth proportional to 186,302, 257,096.76 and 101,414 is: 139,951.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,302 : 257,096.76 = 101,414 : x
  2. Step 2: Convert to fraction form
    186,302/257,096.76 = 101,414/x
  3. Step 3: Cross multiply
    186,302x = 257,096.76 × 101,414
  4. Step 4: Simplify right side
    186,302x = 26,073,210,818.64
  5. Step 5: Solve for x
    x = 26,073,210,818.64/186,302
  6. Step 6: Final answer
    x = 139,951.32

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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.