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Finding the Fourth Proportional to 189,807.04, 284,723.52 and 56,684.80

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Solution

The fourth proportional to 189,807.04, 284,723.52 and 56,684.80 is: 85,031.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,807.04 : 284,723.52 = 56,684.80 : x
  2. Step 2: Convert to fraction form
    189,807.04/284,723.52 = 56,684.80/x
  3. Step 3: Cross multiply
    189,807.04x = 284,723.52 × 56,684.80
  4. Step 4: Simplify right side
    189,807.04x = 16,139,495,786.50
  5. Step 5: Solve for x
    x = 16,139,495,786.50/189,807.04
  6. Step 6: Final answer
    x = 85,031.07

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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.