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Finding the Fourth Proportional to 189,176.64, 283,765.98 and 56,058.04

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Solution

The fourth proportional to 189,176.64, 283,765.98 and 56,058.04 is: 84,087.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,176.64 : 283,765.98 = 56,058.04 : x
  2. Step 2: Convert to fraction form
    189,176.64/283,765.98 = 56,058.04/x
  3. Step 3: Cross multiply
    189,176.64x = 283,765.98 × 56,058.04
  4. Step 4: Simplify right side
    189,176.64x = 15,907,364,657.48
  5. Step 5: Solve for x
    x = 15,907,364,657.48/189,176.64
  6. Step 6: Final answer
    x = 84,087.36

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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.