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Finding the Fourth Proportional to 189,114.95, 283,713.94 and 56,005.63

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Solution

The fourth proportional to 189,114.95, 283,713.94 and 56,005.63 is: 84,020.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,114.95 : 283,713.94 = 56,005.63 : x
  2. Step 2: Convert to fraction form
    189,114.95/283,713.94 = 56,005.63/x
  3. Step 3: Cross multiply
    189,114.95x = 283,713.94 × 56,005.63
  4. Step 4: Simplify right side
    189,114.95x = 15,889,577,310.20
  5. Step 5: Solve for x
    x = 15,889,577,310.20/189,114.95
  6. Step 6: Final answer
    x = 84,020.74

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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.