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Finding the Fourth Proportional to 186,632.40, 279,948.24 and 46,391.16

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Solution

The fourth proportional to 186,632.40, 279,948.24 and 46,391.16 is: 69,586.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,632.40 : 279,948.24 = 46,391.16 : x
  2. Step 2: Convert to fraction form
    186,632.40/279,948.24 = 46,391.16/x
  3. Step 3: Cross multiply
    186,632.40x = 279,948.24 × 46,391.16
  4. Step 4: Simplify right side
    186,632.40x = 12,987,123,593.56
  5. Step 5: Solve for x
    x = 12,987,123,593.56/186,632.40
  6. Step 6: Final answer
    x = 69,586.65

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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.