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Finding the Fourth Proportional to 205,639, 283,779.85 and 114,993.92

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Solution

The fourth proportional to 205,639, 283,779.85 and 114,993.92 is: 158,690.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,639 : 283,779.85 = 114,993.92 : x
  2. Step 2: Convert to fraction form
    205,639/283,779.85 = 114,993.92/x
  3. Step 3: Cross multiply
    205,639x = 283,779.85 × 114,993.92
  4. Step 4: Simplify right side
    205,639x = 32,632,957,368.51
  5. Step 5: Solve for x
    x = 32,632,957,368.51/205,639
  6. Step 6: Final answer
    x = 158,690.51

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Why These Related Problems?

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