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Finding the Fourth Proportional to 185,178.84, 277,781.34 and 91,659.48

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Solution

The fourth proportional to 185,178.84, 277,781.34 and 91,659.48 is: 137,495.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,178.84 : 277,781.34 = 91,659.48 : x
  2. Step 2: Convert to fraction form
    185,178.84/277,781.34 = 91,659.48/x
  3. Step 3: Cross multiply
    185,178.84x = 277,781.34 × 91,659.48
  4. Step 4: Simplify right side
    185,178.84x = 25,461,293,178.10
  5. Step 5: Solve for x
    x = 25,461,293,178.10/185,178.84
  6. Step 6: Final answer
    x = 137,495.69

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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.