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Finding the Fourth Proportional to 186,557.09, 257,449.66 and 105,989.04

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Solution

The fourth proportional to 186,557.09, 257,449.66 and 105,989.04 is: 146,265.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,557.09 : 257,449.66 = 105,989.04 : x
  2. Step 2: Convert to fraction form
    186,557.09/257,449.66 = 105,989.04/x
  3. Step 3: Cross multiply
    186,557.09x = 257,449.66 × 105,989.04
  4. Step 4: Simplify right side
    186,557.09x = 27,286,842,046.75
  5. Step 5: Solve for x
    x = 27,286,842,046.75/186,557.09
  6. Step 6: Final answer
    x = 146,265.38

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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.