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Finding the Fourth Proportional to 189,095.82, 283,677.46 and 62,743.64

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Solution

The fourth proportional to 189,095.82, 283,677.46 and 62,743.64 is: 94,126.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,095.82 : 283,677.46 = 62,743.64 : x
  2. Step 2: Convert to fraction form
    189,095.82/283,677.46 = 62,743.64/x
  3. Step 3: Cross multiply
    189,095.82x = 283,677.46 × 62,743.64
  4. Step 4: Simplify right side
    189,095.82x = 17,798,956,426.35
  5. Step 5: Solve for x
    x = 17,798,956,426.35/189,095.82
  6. Step 6: Final answer
    x = 94,126.65

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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.