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Finding the Fourth Proportional to 189,851.08, 284,817.48 and 56,742.16

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Solution

The fourth proportional to 189,851.08, 284,817.48 and 56,742.16 is: 85,125.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,851.08 : 284,817.48 = 56,742.16 : x
  2. Step 2: Convert to fraction form
    189,851.08/284,817.48 = 56,742.16/x
  3. Step 3: Cross multiply
    189,851.08x = 284,817.48 × 56,742.16
  4. Step 4: Simplify right side
    189,851.08x = 16,161,159,020.96
  5. Step 5: Solve for x
    x = 16,161,159,020.96/189,851.08
  6. Step 6: Final answer
    x = 85,125.45

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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.