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Finding the Fourth Proportional to 195,076, 269,204.88 and 105,652

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Solution

The fourth proportional to 195,076, 269,204.88 and 105,652 is: 145,799.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,076 : 269,204.88 = 105,652 : x
  2. Step 2: Convert to fraction form
    195,076/269,204.88 = 105,652/x
  3. Step 3: Cross multiply
    195,076x = 269,204.88 × 105,652
  4. Step 4: Simplify right side
    195,076x = 28,442,033,981.76
  5. Step 5: Solve for x
    x = 28,442,033,981.76/195,076
  6. Step 6: Final answer
    x = 145,799.76

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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.