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Finding the Fourth Proportional to 345,689.86, 518,525.07 and 188,911.14

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Solution

The fourth proportional to 345,689.86, 518,525.07 and 188,911.14 is: 283,361.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,689.86 : 518,525.07 = 188,911.14 : x
  2. Step 2: Convert to fraction form
    345,689.86/518,525.07 = 188,911.14/x
  3. Step 3: Cross multiply
    345,689.86x = 518,525.07 × 188,911.14
  4. Step 4: Simplify right side
    345,689.86x = 97,955,162,092.28
  5. Step 5: Solve for x
    x = 97,955,162,092.28/345,689.86
  6. Step 6: Final answer
    x = 283,361.40

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Why These Related Problems?

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