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Finding the Fourth Proportional to 195,309.98, 269,535.04 and 110,421.98

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Solution

The fourth proportional to 195,309.98, 269,535.04 and 110,421.98 is: 152,386.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,309.98 : 269,535.04 = 110,421.98 : x
  2. Step 2: Convert to fraction form
    195,309.98/269,535.04 = 110,421.98/x
  3. Step 3: Cross multiply
    195,309.98x = 269,535.04 × 110,421.98
  4. Step 4: Simplify right side
    195,309.98x = 29,762,592,796.18
  5. Step 5: Solve for x
    x = 29,762,592,796.18/195,309.98
  6. Step 6: Final answer
    x = 152,386.44

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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.