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Finding the Fourth Proportional to 260,010, 390,002.24 and 100,162.17

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Solution

The fourth proportional to 260,010, 390,002.24 and 100,162.17 is: 150,238.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,010 : 390,002.24 = 100,162.17 : x
  2. Step 2: Convert to fraction form
    260,010/390,002.24 = 100,162.17/x
  3. Step 3: Cross multiply
    260,010x = 390,002.24 × 100,162.17
  4. Step 4: Simplify right side
    260,010x = 39,063,470,913.67
  5. Step 5: Solve for x
    x = 39,063,470,913.67/260,010
  6. Step 6: Final answer
    x = 150,238.34

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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.