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Finding the Fourth Proportional to 185,149.62, 277,724.43 and 65,178.32

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Solution

The fourth proportional to 185,149.62, 277,724.43 and 65,178.32 is: 97,767.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,149.62 : 277,724.43 = 65,178.32 : x
  2. Step 2: Convert to fraction form
    185,149.62/277,724.43 = 65,178.32/x
  3. Step 3: Cross multiply
    185,149.62x = 277,724.43 × 65,178.32
  4. Step 4: Simplify right side
    185,149.62x = 18,101,610,381.74
  5. Step 5: Solve for x
    x = 18,101,610,381.74/185,149.62
  6. Step 6: Final answer
    x = 97,767.47

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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.