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Finding the Fourth Proportional to 189,775.32, 284,653.26 and 56,656.68

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Solution

The fourth proportional to 189,775.32, 284,653.26 and 56,656.68 is: 84,982.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,775.32 : 284,653.26 = 56,656.68 : x
  2. Step 2: Convert to fraction form
    189,775.32/284,653.26 = 56,656.68/x
  3. Step 3: Cross multiply
    189,775.32x = 284,653.26 × 56,656.68
  4. Step 4: Simplify right side
    189,775.32x = 16,127,508,662.78
  5. Step 5: Solve for x
    x = 16,127,508,662.78/189,775.32
  6. Step 6: Final answer
    x = 84,982.12

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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.