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Finding the Fourth Proportional to 168,121.14, 232,011.59 and 103,633

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Solution

The fourth proportional to 168,121.14, 232,011.59 and 103,633 is: 143,016.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,121.14 : 232,011.59 = 103,633 : x
  2. Step 2: Convert to fraction form
    168,121.14/232,011.59 = 103,633/x
  3. Step 3: Cross multiply
    168,121.14x = 232,011.59 × 103,633
  4. Step 4: Simplify right side
    168,121.14x = 24,044,057,106.47
  5. Step 5: Solve for x
    x = 24,044,057,106.47/168,121.14
  6. Step 6: Final answer
    x = 143,016.26

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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.