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Finding the Fourth Proportional to 186,474.79, 257,335.55 and 105,902.31

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Solution

The fourth proportional to 186,474.79, 257,335.55 and 105,902.31 is: 146,145.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,474.79 : 257,335.55 = 105,902.31 : x
  2. Step 2: Convert to fraction form
    186,474.79/257,335.55 = 105,902.31/x
  3. Step 3: Cross multiply
    186,474.79x = 257,335.55 × 105,902.31
  4. Step 4: Simplify right side
    186,474.79x = 27,252,429,190.12
  5. Step 5: Solve for x
    x = 27,252,429,190.12/186,474.79
  6. Step 6: Final answer
    x = 146,145.38

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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.