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Finding the Fourth Proportional to 186,687.51, 280,030.78 and 149,071.38

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Solution

The fourth proportional to 186,687.51, 280,030.78 and 149,071.38 is: 223,606.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,687.51 : 280,030.78 = 149,071.38 : x
  2. Step 2: Convert to fraction form
    186,687.51/280,030.78 = 149,071.38/x
  3. Step 3: Cross multiply
    186,687.51x = 280,030.78 × 149,071.38
  4. Step 4: Simplify right side
    186,687.51x = 41,744,574,817.08
  5. Step 5: Solve for x
    x = 41,744,574,817.08/186,687.51
  6. Step 6: Final answer
    x = 223,606.68

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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.