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Finding the Fourth Proportional to 189,064.47, 283,640.83 and 62,695.47

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Solution

The fourth proportional to 189,064.47, 283,640.83 and 62,695.47 is: 94,057.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,064.47 : 283,640.83 = 62,695.47 : x
  2. Step 2: Convert to fraction form
    189,064.47/283,640.83 = 62,695.47/x
  3. Step 3: Cross multiply
    189,064.47x = 283,640.83 × 62,695.47
  4. Step 4: Simplify right side
    189,064.47x = 17,782,994,459.47
  5. Step 5: Solve for x
    x = 17,782,994,459.47/189,064.47
  6. Step 6: Final answer
    x = 94,057.83

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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.