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Finding the Fourth Proportional to 188,735, 283,146.24 and 64,076

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Solution

The fourth proportional to 188,735, 283,146.24 and 64,076 is: 96,128.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,735 : 283,146.24 = 64,076 : x
  2. Step 2: Convert to fraction form
    188,735/283,146.24 = 64,076/x
  3. Step 3: Cross multiply
    188,735x = 283,146.24 × 64,076
  4. Step 4: Simplify right side
    188,735x = 18,142,878,474.24
  5. Step 5: Solve for x
    x = 18,142,878,474.24/188,735
  6. Step 6: Final answer
    x = 96,128.85

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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.