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Finding the Fourth Proportional to 205,222.61, 283,212.86 and 114,575.11

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Solution

The fourth proportional to 205,222.61, 283,212.86 and 114,575.11 is: 158,116.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,222.61 : 283,212.86 = 114,575.11 : x
  2. Step 2: Convert to fraction form
    205,222.61/283,212.86 = 114,575.11/x
  3. Step 3: Cross multiply
    205,222.61x = 283,212.86 × 114,575.11
  4. Step 4: Simplify right side
    205,222.61x = 32,449,143,307.01
  5. Step 5: Solve for x
    x = 32,449,143,307.01/205,222.61
  6. Step 6: Final answer
    x = 158,116.80

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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.