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Finding the Fourth Proportional to 189,452.10, 284,225.22 and 56,332.16

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Solution

The fourth proportional to 189,452.10, 284,225.22 and 56,332.16 is: 84,512.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,452.10 : 284,225.22 = 56,332.16 : x
  2. Step 2: Convert to fraction form
    189,452.10/284,225.22 = 56,332.16/x
  3. Step 3: Cross multiply
    189,452.10x = 284,225.22 × 56,332.16
  4. Step 4: Simplify right side
    189,452.10x = 16,011,019,147.95
  5. Step 5: Solve for x
    x = 16,011,019,147.95/189,452.10
  6. Step 6: Final answer
    x = 84,512.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.