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Finding the Fourth Proportional to 186,784.79, 257,761.80 and 106,212.31

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Solution

The fourth proportional to 186,784.79, 257,761.80 and 106,212.31 is: 146,572.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,784.79 : 257,761.80 = 106,212.31 : x
  2. Step 2: Convert to fraction form
    186,784.79/257,761.80 = 106,212.31/x
  3. Step 3: Cross multiply
    186,784.79x = 257,761.80 × 106,212.31
  4. Step 4: Simplify right side
    186,784.79x = 27,377,475,563.35
  5. Step 5: Solve for x
    x = 27,377,475,563.35/186,784.79
  6. Step 6: Final answer
    x = 146,572.30

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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.