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Finding the Fourth Proportional to 185,044, 255,360.76 and 100,161.76

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Solution

The fourth proportional to 185,044, 255,360.76 and 100,161.76 is: 138,223.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,044 : 255,360.76 = 100,161.76 : x
  2. Step 2: Convert to fraction form
    185,044/255,360.76 = 100,161.76/x
  3. Step 3: Cross multiply
    185,044x = 255,360.76 × 100,161.76
  4. Step 4: Simplify right side
    185,044x = 25,577,383,156.54
  5. Step 5: Solve for x
    x = 25,577,383,156.54/185,044
  6. Step 6: Final answer
    x = 138,223.25

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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.