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Finding the Fourth Proportional to 189,774.89, 284,652.60 and 56,656.25

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Solution

The fourth proportional to 189,774.89, 284,652.60 and 56,656.25 is: 84,981.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,774.89 : 284,652.60 = 56,656.25 : x
  2. Step 2: Convert to fraction form
    189,774.89/284,652.60 = 56,656.25/x
  3. Step 3: Cross multiply
    189,774.89x = 284,652.60 × 56,656.25
  4. Step 4: Simplify right side
    189,774.89x = 16,127,348,868.75
  5. Step 5: Solve for x
    x = 16,127,348,868.75/189,774.89
  6. Step 6: Final answer
    x = 84,981.47

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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.