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Finding the Fourth Proportional to 185,871.09, 256,498.93 and 100,987.54

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Solution

The fourth proportional to 185,871.09, 256,498.93 and 100,987.54 is: 139,361.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,871.09 : 256,498.93 = 100,987.54 : x
  2. Step 2: Convert to fraction form
    185,871.09/256,498.93 = 100,987.54/x
  3. Step 3: Cross multiply
    185,871.09x = 256,498.93 × 100,987.54
  4. Step 4: Simplify right side
    185,871.09x = 25,903,195,953.33
  5. Step 5: Solve for x
    x = 25,903,195,953.33/185,871.09
  6. Step 6: Final answer
    x = 139,361.08

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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.