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Finding the Fourth Proportional to 143,358.20, 197,830.32 and 78,827.57

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Solution

The fourth proportional to 143,358.20, 197,830.32 and 78,827.57 is: 108,779.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,358.20 : 197,830.32 = 78,827.57 : x
  2. Step 2: Convert to fraction form
    143,358.20/197,830.32 = 78,827.57/x
  3. Step 3: Cross multiply
    143,358.20x = 197,830.32 × 78,827.57
  4. Step 4: Simplify right side
    143,358.20x = 15,594,482,408.77
  5. Step 5: Solve for x
    x = 15,594,482,408.77/143,358.20
  6. Step 6: Final answer
    x = 108,779.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.