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Finding the Fourth Proportional to 213,816.35, 295,065.29 and 123,138.47

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Solution

The fourth proportional to 213,816.35, 295,065.29 and 123,138.47 is: 169,930.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,816.35 : 295,065.29 = 123,138.47 : x
  2. Step 2: Convert to fraction form
    213,816.35/295,065.29 = 123,138.47/x
  3. Step 3: Cross multiply
    213,816.35x = 295,065.29 × 123,138.47
  4. Step 4: Simplify right side
    213,816.35x = 36,333,887,193.23
  5. Step 5: Solve for x
    x = 36,333,887,193.23/213,816.35
  6. Step 6: Final answer
    x = 169,930.35

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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.