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Finding the Fourth Proportional to 195,826, 270,241.53 and 106,402

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Solution

The fourth proportional to 195,826, 270,241.53 and 106,402 is: 146,835.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,826 : 270,241.53 = 106,402 : x
  2. Step 2: Convert to fraction form
    195,826/270,241.53 = 106,402/x
  3. Step 3: Cross multiply
    195,826x = 270,241.53 × 106,402
  4. Step 4: Simplify right side
    195,826x = 28,754,239,275.06
  5. Step 5: Solve for x
    x = 28,754,239,275.06/195,826
  6. Step 6: Final answer
    x = 146,835.66

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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.