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Finding the Fourth Proportional to 195,259.20, 269,459.12 and 105,835.20

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Solution

The fourth proportional to 195,259.20, 269,459.12 and 105,835.20 is: 146,053.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,259.20 : 269,459.12 = 105,835.20 : x
  2. Step 2: Convert to fraction form
    195,259.20/269,459.12 = 105,835.20/x
  3. Step 3: Cross multiply
    195,259.20x = 269,459.12 × 105,835.20
  4. Step 4: Simplify right side
    195,259.20x = 28,518,259,857.02
  5. Step 5: Solve for x
    x = 28,518,259,857.02/195,259.20
  6. Step 6: Final answer
    x = 146,053.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.