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Finding the Fourth Proportional to 189,574.83, 284,343.41 and 49,333.46

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Solution

The fourth proportional to 189,574.83, 284,343.41 and 49,333.46 is: 73,995.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,574.83 : 284,343.41 = 49,333.46 : x
  2. Step 2: Convert to fraction form
    189,574.83/284,343.41 = 49,333.46/x
  3. Step 3: Cross multiply
    189,574.83x = 284,343.41 × 49,333.46
  4. Step 4: Simplify right side
    189,574.83x = 14,027,642,945.12
  5. Step 5: Solve for x
    x = 14,027,642,945.12/189,574.83
  6. Step 6: Final answer
    x = 73,995.28

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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.