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Finding the Fourth Proportional to 186,765.30, 257,738.76 and 106,192.62

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Solution

The fourth proportional to 186,765.30, 257,738.76 and 106,192.62 is: 146,547.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,765.30 : 257,738.76 = 106,192.62 : x
  2. Step 2: Convert to fraction form
    186,765.30/257,738.76 = 106,192.62/x
  3. Step 3: Cross multiply
    186,765.30x = 257,738.76 × 106,192.62
  4. Step 4: Simplify right side
    186,765.30x = 27,369,954,199.95
  5. Step 5: Solve for x
    x = 27,369,954,199.95/186,765.30
  6. Step 6: Final answer
    x = 146,547.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.