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Finding the Fourth Proportional to 186,639.76, 257,516.72 and 114,024

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Solution

The fourth proportional to 186,639.76, 257,516.72 and 114,024 is: 157,324.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,639.76 : 257,516.72 = 114,024 : x
  2. Step 2: Convert to fraction form
    186,639.76/257,516.72 = 114,024/x
  3. Step 3: Cross multiply
    186,639.76x = 257,516.72 × 114,024
  4. Step 4: Simplify right side
    186,639.76x = 29,363,086,481.28
  5. Step 5: Solve for x
    x = 29,363,086,481.28/186,639.76
  6. Step 6: Final answer
    x = 157,324.93

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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.