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Finding the Fourth Proportional to 186,494.95, 279,744.35 and 149,291.50

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Solution

The fourth proportional to 186,494.95, 279,744.35 and 149,291.50 is: 223,938.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,494.95 : 279,744.35 = 149,291.50 : x
  2. Step 2: Convert to fraction form
    186,494.95/279,744.35 = 149,291.50/x
  3. Step 3: Cross multiply
    186,494.95x = 279,744.35 × 149,291.50
  4. Step 4: Simplify right side
    186,494.95x = 41,763,452,182.21
  5. Step 5: Solve for x
    x = 41,763,452,182.21/186,494.95
  6. Step 6: Final answer
    x = 223,938.79

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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.