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Finding the Fourth Proportional to 186,737.59, 257,696.67 and 106,165.15

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Solution

The fourth proportional to 186,737.59, 257,696.67 and 106,165.15 is: 146,507.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,737.59 : 257,696.67 = 106,165.15 : x
  2. Step 2: Convert to fraction form
    186,737.59/257,696.67 = 106,165.15/x
  3. Step 3: Cross multiply
    186,737.59x = 257,696.67 × 106,165.15
  4. Step 4: Simplify right side
    186,737.59x = 27,358,405,625.05
  5. Step 5: Solve for x
    x = 27,358,405,625.05/186,737.59
  6. Step 6: Final answer
    x = 146,507.22

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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.