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Finding the Fourth Proportional to 186,813, 257,802 and 119,745

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Solution

The fourth proportional to 186,813, 257,802 and 119,745 is: 165,248.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,813 : 257,802 = 119,745 : x
  2. Step 2: Convert to fraction form
    186,813/257,802 = 119,745/x
  3. Step 3: Cross multiply
    186,813x = 257,802 × 119,745
  4. Step 4: Simplify right side
    186,813x = 30,870,500,490
  5. Step 5: Solve for x
    x = 30,870,500,490/186,813
  6. Step 6: Final answer
    x = 165,248.14

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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.