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Finding the Fourth Proportional to 195,468.32, 269,746.80 and 106,044.32

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Solution

The fourth proportional to 195,468.32, 269,746.80 and 106,044.32 is: 146,341.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,468.32 : 269,746.80 = 106,044.32 : x
  2. Step 2: Convert to fraction form
    195,468.32/269,746.80 = 106,044.32/x
  3. Step 3: Cross multiply
    195,468.32x = 269,746.80 × 106,044.32
  4. Step 4: Simplify right side
    195,468.32x = 28,605,115,978.18
  5. Step 5: Solve for x
    x = 28,605,115,978.18/195,468.32
  6. Step 6: Final answer
    x = 146,341.44

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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.