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Finding the Fourth Proportional to 260,019.20, 390,028.80 and 102,195.20

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Solution

The fourth proportional to 260,019.20, 390,028.80 and 102,195.20 is: 153,292.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,019.20 : 390,028.80 = 102,195.20 : x
  2. Step 2: Convert to fraction form
    260,019.20/390,028.80 = 102,195.20/x
  3. Step 3: Cross multiply
    260,019.20x = 390,028.80 × 102,195.20
  4. Step 4: Simplify right side
    260,019.20x = 39,859,071,221.76
  5. Step 5: Solve for x
    x = 39,859,071,221.76/260,019.20
  6. Step 6: Final answer
    x = 153,292.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.