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Finding the Fourth Proportional to 186,594.46, 257,490.63 and 106,010.80

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Solution

The fourth proportional to 186,594.46, 257,490.63 and 106,010.80 is: 146,289.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,594.46 : 257,490.63 = 106,010.80 : x
  2. Step 2: Convert to fraction form
    186,594.46/257,490.63 = 106,010.80/x
  3. Step 3: Cross multiply
    186,594.46x = 257,490.63 × 106,010.80
  4. Step 4: Simplify right side
    186,594.46x = 27,296,786,391.35
  5. Step 5: Solve for x
    x = 27,296,786,391.35/186,594.46
  6. Step 6: Final answer
    x = 146,289.38

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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.