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Finding the Fourth Proportional to 210,406.10, 290,355.78 and 114,913.17

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Solution

The fourth proportional to 210,406.10, 290,355.78 and 114,913.17 is: 158,577.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,406.10 : 290,355.78 = 114,913.17 : x
  2. Step 2: Convert to fraction form
    210,406.10/290,355.78 = 114,913.17/x
  3. Step 3: Cross multiply
    210,406.10x = 290,355.78 × 114,913.17
  4. Step 4: Simplify right side
    210,406.10x = 33,365,703,107.62
  5. Step 5: Solve for x
    x = 33,365,703,107.62/210,406.10
  6. Step 6: Final answer
    x = 158,577.65

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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.