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Finding the Fourth Proportional to 189,782.10, 284,490.90 and 109,737.90

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Solution

The fourth proportional to 189,782.10, 284,490.90 and 109,737.90 is: 164,501.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,782.10 : 284,490.90 = 109,737.90 : x
  2. Step 2: Convert to fraction form
    189,782.10/284,490.90 = 109,737.90/x
  3. Step 3: Cross multiply
    189,782.10x = 284,490.90 × 109,737.90
  4. Step 4: Simplify right side
    189,782.10x = 31,219,433,935.11
  5. Step 5: Solve for x
    x = 31,219,433,935.11/189,782.10
  6. Step 6: Final answer
    x = 164,501.47

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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.