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Finding the Fourth Proportional to 186,760.88, 257,719.52 and 106,177.04

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Solution

The fourth proportional to 186,760.88, 257,719.52 and 106,177.04 is: 146,518.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,760.88 : 257,719.52 = 106,177.04 : x
  2. Step 2: Convert to fraction form
    186,760.88/257,719.52 = 106,177.04/x
  3. Step 3: Cross multiply
    186,760.88x = 257,719.52 × 106,177.04
  4. Step 4: Simplify right side
    186,760.88x = 27,363,895,783.82
  5. Step 5: Solve for x
    x = 27,363,895,783.82/186,760.88
  6. Step 6: Final answer
    x = 146,518.35

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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.