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Finding the Fourth Proportional to 152,204.91, 210,028.47 and 103,046.54

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Solution

The fourth proportional to 152,204.91, 210,028.47 and 103,046.54 is: 142,194.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,204.91 : 210,028.47 = 103,046.54 : x
  2. Step 2: Convert to fraction form
    152,204.91/210,028.47 = 103,046.54/x
  3. Step 3: Cross multiply
    152,204.91x = 210,028.47 × 103,046.54
  4. Step 4: Simplify right side
    152,204.91x = 21,642,707,134.99
  5. Step 5: Solve for x
    x = 21,642,707,134.99/152,204.91
  6. Step 6: Final answer
    x = 142,194.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.