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Finding the Fourth Proportional to 189,323.44, 283,966.26 and 77,010.28

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Solution

The fourth proportional to 189,323.44, 283,966.26 and 77,010.28 is: 115,507.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,323.44 : 283,966.26 = 77,010.28 : x
  2. Step 2: Convert to fraction form
    189,323.44/283,966.26 = 77,010.28/x
  3. Step 3: Cross multiply
    189,323.44x = 283,966.26 × 77,010.28
  4. Step 4: Simplify right side
    189,323.44x = 21,868,321,193.15
  5. Step 5: Solve for x
    x = 21,868,321,193.15/189,323.44
  6. Step 6: Final answer
    x = 115,507.73

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1.5x scale

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.