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Finding the Fourth Proportional to 185,820.90, 256,434.18 and 100,938

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Solution

The fourth proportional to 185,820.90, 256,434.18 and 100,938 is: 139,295.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,820.90 : 256,434.18 = 100,938 : x
  2. Step 2: Convert to fraction form
    185,820.90/256,434.18 = 100,938/x
  3. Step 3: Cross multiply
    185,820.90x = 256,434.18 × 100,938
  4. Step 4: Simplify right side
    185,820.90x = 25,883,953,260.84
  5. Step 5: Solve for x
    x = 25,883,953,260.84/185,820.90
  6. Step 6: Final answer
    x = 139,295.17

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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.