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Finding the Fourth Proportional to 189,276.89, 283,913.91 and 56,146.10

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Solution

The fourth proportional to 189,276.89, 283,913.91 and 56,146.10 is: 84,218.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,276.89 : 283,913.91 = 56,146.10 : x
  2. Step 2: Convert to fraction form
    189,276.89/283,913.91 = 56,146.10/x
  3. Step 3: Cross multiply
    189,276.89x = 283,913.91 × 56,146.10
  4. Step 4: Simplify right side
    189,276.89x = 15,940,657,362.68
  5. Step 5: Solve for x
    x = 15,940,657,362.68/189,276.89
  6. Step 6: Final answer
    x = 84,218.72

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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.