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Finding the Fourth Proportional to 188,732, 283,141.74 and 64,073

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Solution

The fourth proportional to 188,732, 283,141.74 and 64,073 is: 96,124.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,732 : 283,141.74 = 64,073 : x
  2. Step 2: Convert to fraction form
    188,732/283,141.74 = 64,073/x
  3. Step 3: Cross multiply
    188,732x = 283,141.74 × 64,073
  4. Step 4: Simplify right side
    188,732x = 18,141,740,707.02
  5. Step 5: Solve for x
    x = 18,141,740,707.02/188,732
  6. Step 6: Final answer
    x = 96,124.35

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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.