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Finding the Fourth Proportional to 185,924.73, 256,578.12 and 101,041.80

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Solution

The fourth proportional to 185,924.73, 256,578.12 and 101,041.80 is: 139,438.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,924.73 : 256,578.12 = 101,041.80 : x
  2. Step 2: Convert to fraction form
    185,924.73/256,578.12 = 101,041.80/x
  3. Step 3: Cross multiply
    185,924.73x = 256,578.12 × 101,041.80
  4. Step 4: Simplify right side
    185,924.73x = 25,925,115,085.42
  5. Step 5: Solve for x
    x = 25,925,115,085.42/185,924.73
  6. Step 6: Final answer
    x = 139,438.77

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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.