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Finding the Fourth Proportional to 210,834.52, 290,964.54 and 121,439.32

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Solution

The fourth proportional to 210,834.52, 290,964.54 and 121,439.32 is: 167,593.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,834.52 : 290,964.54 = 121,439.32 : x
  2. Step 2: Convert to fraction form
    210,834.52/290,964.54 = 121,439.32/x
  3. Step 3: Cross multiply
    210,834.52x = 290,964.54 × 121,439.32
  4. Step 4: Simplify right side
    210,834.52x = 35,334,535,881.71
  5. Step 5: Solve for x
    x = 35,334,535,881.71/210,834.52
  6. Step 6: Final answer
    x = 167,593.69

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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.