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Finding the Fourth Proportional to 187,302.25, 280,953.65 and 76,494.25

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Solution

The fourth proportional to 187,302.25, 280,953.65 and 76,494.25 is: 114,741.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,302.25 : 280,953.65 = 76,494.25 : x
  2. Step 2: Convert to fraction form
    187,302.25/280,953.65 = 76,494.25/x
  3. Step 3: Cross multiply
    187,302.25x = 280,953.65 × 76,494.25
  4. Step 4: Simplify right side
    187,302.25x = 21,491,338,741.51
  5. Step 5: Solve for x
    x = 21,491,338,741.51/187,302.25
  6. Step 6: Final answer
    x = 114,741.49

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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.