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Finding the Fourth Proportional to 189,803.08, 284,701.02 and 56,683.72

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Solution

The fourth proportional to 189,803.08, 284,701.02 and 56,683.72 is: 85,024.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,803.08 : 284,701.02 = 56,683.72 : x
  2. Step 2: Convert to fraction form
    189,803.08/284,701.02 = 56,683.72/x
  3. Step 3: Cross multiply
    189,803.08x = 284,701.02 × 56,683.72
  4. Step 4: Simplify right side
    189,803.08x = 16,137,912,901.39
  5. Step 5: Solve for x
    x = 16,137,912,901.39/189,803.08
  6. Step 6: Final answer
    x = 85,024.50

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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.