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Finding the Fourth Proportional to 210,320.49, 290,249.16 and 114,834.45

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Solution

The fourth proportional to 210,320.49, 290,249.16 and 114,834.45 is: 158,475.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,320.49 : 290,249.16 = 114,834.45 : x
  2. Step 2: Convert to fraction form
    210,320.49/290,249.16 = 114,834.45/x
  3. Step 3: Cross multiply
    210,320.49x = 290,249.16 × 114,834.45
  4. Step 4: Simplify right side
    210,320.49x = 33,330,602,651.56
  5. Step 5: Solve for x
    x = 33,330,602,651.56/210,320.49
  6. Step 6: Final answer
    x = 158,475.30

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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.