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Finding the Fourth Proportional to 205,830.25, 308,702.17 and 58,051.69

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Solution

The fourth proportional to 205,830.25, 308,702.17 and 58,051.69 is: 87,065.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,830.25 : 308,702.17 = 58,051.69 : x
  2. Step 2: Convert to fraction form
    205,830.25/308,702.17 = 58,051.69/x
  3. Step 3: Cross multiply
    205,830.25x = 308,702.17 × 58,051.69
  4. Step 4: Simplify right side
    205,830.25x = 17,920,682,675.17
  5. Step 5: Solve for x
    x = 17,920,682,675.17/205,830.25
  6. Step 6: Final answer
    x = 87,065.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.