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Finding the Fourth Proportional to 189,281.78, 283,981.80 and 56,162.70

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Solution

The fourth proportional to 189,281.78, 283,981.80 and 56,162.70 is: 84,261.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,281.78 : 283,981.80 = 56,162.70 : x
  2. Step 2: Convert to fraction form
    189,281.78/283,981.80 = 56,162.70/x
  3. Step 3: Cross multiply
    189,281.78x = 283,981.80 × 56,162.70
  4. Step 4: Simplify right side
    189,281.78x = 15,949,184,638.86
  5. Step 5: Solve for x
    x = 15,949,184,638.86/189,281.78
  6. Step 6: Final answer
    x = 84,261.59

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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.