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Finding the Fourth Proportional to 186,952.34, 279,981.45 and 107,826.68

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Solution

The fourth proportional to 186,952.34, 279,981.45 and 107,826.68 is: 161,482.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,952.34 : 279,981.45 = 107,826.68 : x
  2. Step 2: Convert to fraction form
    186,952.34/279,981.45 = 107,826.68/x
  3. Step 3: Cross multiply
    186,952.34x = 279,981.45 × 107,826.68
  4. Step 4: Simplify right side
    186,952.34x = 30,189,470,215.09
  5. Step 5: Solve for x
    x = 30,189,470,215.09/186,952.34
  6. Step 6: Final answer
    x = 161,482.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.