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Finding the Fourth Proportional to 186,930.88, 257,941.92 and 106,368.64

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Solution

The fourth proportional to 186,930.88, 257,941.92 and 106,368.64 is: 146,775.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,930.88 : 257,941.92 = 106,368.64 : x
  2. Step 2: Convert to fraction form
    186,930.88/257,941.92 = 106,368.64/x
  3. Step 3: Cross multiply
    186,930.88x = 257,941.92 × 106,368.64
  4. Step 4: Simplify right side
    186,930.88x = 27,436,931,229.39
  5. Step 5: Solve for x
    x = 27,436,931,229.39/186,930.88
  6. Step 6: Final answer
    x = 146,775.81

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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.