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Finding the Fourth Proportional to 186,737.10, 257,696 and 106,164.64

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Solution

The fourth proportional to 186,737.10, 257,696 and 106,164.64 is: 146,506.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,737.10 : 257,696 = 106,164.64 : x
  2. Step 2: Convert to fraction form
    186,737.10/257,696 = 106,164.64/x
  3. Step 3: Cross multiply
    186,737.10x = 257,696 × 106,164.64
  4. Step 4: Simplify right side
    186,737.10x = 27,358,203,069.44
  5. Step 5: Solve for x
    x = 27,358,203,069.44/186,737.10
  6. Step 6: Final answer
    x = 146,506.52

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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.