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Finding the Fourth Proportional to 189,854.15, 284,886.29 and 113,765.77

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Solution

The fourth proportional to 189,854.15, 284,886.29 and 113,765.77 is: 170,711.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,854.15 : 284,886.29 = 113,765.77 : x
  2. Step 2: Convert to fraction form
    189,854.15/284,886.29 = 113,765.77/x
  3. Step 3: Cross multiply
    189,854.15x = 284,886.29 × 113,765.77
  4. Step 4: Simplify right side
    189,854.15x = 32,410,306,862.36
  5. Step 5: Solve for x
    x = 32,410,306,862.36/189,854.15
  6. Step 6: Final answer
    x = 170,711.60

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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.