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Finding the Fourth Proportional to 189,813.56, 284,779.56 and 56,699.07

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Solution

The fourth proportional to 189,813.56, 284,779.56 and 56,699.07 is: 85,066.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,813.56 : 284,779.56 = 56,699.07 : x
  2. Step 2: Convert to fraction form
    189,813.56/284,779.56 = 56,699.07/x
  3. Step 3: Cross multiply
    189,813.56x = 284,779.56 × 56,699.07
  4. Step 4: Simplify right side
    189,813.56x = 16,146,734,783.11
  5. Step 5: Solve for x
    x = 16,146,734,783.11/189,813.56
  6. Step 6: Final answer
    x = 85,066.29

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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.