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Finding the Fourth Proportional to 205,068.69, 283,001.58 and 119,021.22

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Solution

The fourth proportional to 205,068.69, 283,001.58 and 119,021.22 is: 164,253.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,068.69 : 283,001.58 = 119,021.22 : x
  2. Step 2: Convert to fraction form
    205,068.69/283,001.58 = 119,021.22/x
  3. Step 3: Cross multiply
    205,068.69x = 283,001.58 × 119,021.22
  4. Step 4: Simplify right side
    205,068.69x = 33,683,193,313.53
  5. Step 5: Solve for x
    x = 33,683,193,313.53/205,068.69
  6. Step 6: Final answer
    x = 164,253.22

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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.