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Finding the Fourth Proportional to 186,465.28, 279,464.36 and 146,866

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Solution

The fourth proportional to 186,465.28, 279,464.36 and 146,866 is: 220,115.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,465.28 : 279,464.36 = 146,866 : x
  2. Step 2: Convert to fraction form
    186,465.28/279,464.36 = 146,866/x
  3. Step 3: Cross multiply
    186,465.28x = 279,464.36 × 146,866
  4. Step 4: Simplify right side
    186,465.28x = 41,043,812,695.76
  5. Step 5: Solve for x
    x = 41,043,812,695.76/186,465.28
  6. Step 6: Final answer
    x = 220,115.04

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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.