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Finding the Fourth Proportional to 189,375.55, 284,014.72 and 56,224.91

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Solution

The fourth proportional to 189,375.55, 284,014.72 and 56,224.91 is: 84,322.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,375.55 : 284,014.72 = 56,224.91 : x
  2. Step 2: Convert to fraction form
    189,375.55/284,014.72 = 56,224.91/x
  3. Step 3: Cross multiply
    189,375.55x = 284,014.72 × 56,224.91
  4. Step 4: Simplify right side
    189,375.55x = 15,968,702,070.68
  5. Step 5: Solve for x
    x = 15,968,702,070.68/189,375.55
  6. Step 6: Final answer
    x = 84,322.93

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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.