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Finding the Fourth Proportional to 357,614.77, 536,416.08 and 189,099.13

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Solution

The fourth proportional to 357,614.77, 536,416.08 and 189,099.13 is: 283,645.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,614.77 : 536,416.08 = 189,099.13 : x
  2. Step 2: Convert to fraction form
    357,614.77/536,416.08 = 189,099.13/x
  3. Step 3: Cross multiply
    357,614.77x = 536,416.08 × 189,099.13
  4. Step 4: Simplify right side
    357,614.77x = 101,435,814,046.01
  5. Step 5: Solve for x
    x = 101,435,814,046.01/357,614.77
  6. Step 6: Final answer
    x = 283,645.48

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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.