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Finding the Fourth Proportional to 205,343.67, 283,365.77 and 114,699.21

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Solution

The fourth proportional to 205,343.67, 283,365.77 and 114,699.21 is: 158,280.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,343.67 : 283,365.77 = 114,699.21 : x
  2. Step 2: Convert to fraction form
    205,343.67/283,365.77 = 114,699.21/x
  3. Step 3: Cross multiply
    205,343.67x = 283,365.77 × 114,699.21
  4. Step 4: Simplify right side
    205,343.67x = 32,501,829,386.55
  5. Step 5: Solve for x
    x = 32,501,829,386.55/205,343.67
  6. Step 6: Final answer
    x = 158,280.16

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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.