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Finding the Fourth Proportional to 189,695.70, 284,557.95 and 56,565.54

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Solution

The fourth proportional to 189,695.70, 284,557.95 and 56,565.54 is: 84,852.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,695.70 : 284,557.95 = 56,565.54 : x
  2. Step 2: Convert to fraction form
    189,695.70/284,557.95 = 56,565.54/x
  3. Step 3: Cross multiply
    189,695.70x = 284,557.95 × 56,565.54
  4. Step 4: Simplify right side
    189,695.70x = 16,096,174,103.04
  5. Step 5: Solve for x
    x = 16,096,174,103.04/189,695.70
  6. Step 6: Final answer
    x = 84,852.60

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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.