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Finding the Fourth Proportional to 186,802.38, 257,842.17 and 106,274.88

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Solution

The fourth proportional to 186,802.38, 257,842.17 and 106,274.88 is: 146,690.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,802.38 : 257,842.17 = 106,274.88 : x
  2. Step 2: Convert to fraction form
    186,802.38/257,842.17 = 106,274.88/x
  3. Step 3: Cross multiply
    186,802.38x = 257,842.17 × 106,274.88
  4. Step 4: Simplify right side
    186,802.38x = 27,402,145,675.69
  5. Step 5: Solve for x
    x = 27,402,145,675.69/186,802.38
  6. Step 6: Final answer
    x = 146,690.56

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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.