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Finding the Fourth Proportional to 185,282.44, 255,690.07 and 100,399.50

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Solution

The fourth proportional to 185,282.44, 255,690.07 and 100,399.50 is: 138,551.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,282.44 : 255,690.07 = 100,399.50 : x
  2. Step 2: Convert to fraction form
    185,282.44/255,690.07 = 100,399.50/x
  3. Step 3: Cross multiply
    185,282.44x = 255,690.07 × 100,399.50
  4. Step 4: Simplify right side
    185,282.44x = 25,671,154,931.97
  5. Step 5: Solve for x
    x = 25,671,154,931.97/185,282.44
  6. Step 6: Final answer
    x = 138,551.47

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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.