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Finding the Fourth Proportional to 189,356.16, 283,985.52 and 56,204.88

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Solution

The fourth proportional to 189,356.16, 283,985.52 and 56,204.88 is: 84,292.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,356.16 : 283,985.52 = 56,204.88 : x
  2. Step 2: Convert to fraction form
    189,356.16/283,985.52 = 56,204.88/x
  3. Step 3: Cross multiply
    189,356.16x = 283,985.52 × 56,204.88
  4. Step 4: Simplify right side
    189,356.16x = 15,961,372,073.34
  5. Step 5: Solve for x
    x = 15,961,372,073.34/189,356.16
  6. Step 6: Final answer
    x = 84,292.86

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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.