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Finding the Fourth Proportional to 185,473.86, 255,859.74 and 117,376.08

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Solution

The fourth proportional to 185,473.86, 255,859.74 and 117,376.08 is: 161,919.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,473.86 : 255,859.74 = 117,376.08 : x
  2. Step 2: Convert to fraction form
    185,473.86/255,859.74 = 117,376.08/x
  3. Step 3: Cross multiply
    185,473.86x = 255,859.74 × 117,376.08
  4. Step 4: Simplify right side
    185,473.86x = 30,031,813,311.02
  5. Step 5: Solve for x
    x = 30,031,813,311.02/185,473.86
  6. Step 6: Final answer
    x = 161,919.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.