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Finding the Fourth Proportional to 185,803.02, 256,409.46 and 100,920.06

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Solution

The fourth proportional to 185,803.02, 256,409.46 and 100,920.06 is: 139,270.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,803.02 : 256,409.46 = 100,920.06 : x
  2. Step 2: Convert to fraction form
    185,803.02/256,409.46 = 100,920.06/x
  3. Step 3: Cross multiply
    185,803.02x = 256,409.46 × 100,920.06
  4. Step 4: Simplify right side
    185,803.02x = 25,876,858,087.77
  5. Step 5: Solve for x
    x = 25,876,858,087.77/185,803.02
  6. Step 6: Final answer
    x = 139,270.38

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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.