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Finding the Fourth Proportional to 189,089.10, 283,648.23 and 55,967.22

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Solution

The fourth proportional to 189,089.10, 283,648.23 and 55,967.22 is: 83,955.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,089.10 : 283,648.23 = 55,967.22 : x
  2. Step 2: Convert to fraction form
    189,089.10/283,648.23 = 55,967.22/x
  3. Step 3: Cross multiply
    189,089.10x = 283,648.23 × 55,967.22
  4. Step 4: Simplify right side
    189,089.10x = 15,875,002,891.02
  5. Step 5: Solve for x
    x = 15,875,002,891.02/189,089.10
  6. Step 6: Final answer
    x = 83,955.15

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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.