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Finding the Fourth Proportional to 152,205.23, 210,028.92 and 103,046.86

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Solution

The fourth proportional to 152,205.23, 210,028.92 and 103,046.86 is: 142,194.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,205.23 : 210,028.92 = 103,046.86 : x
  2. Step 2: Convert to fraction form
    152,205.23/210,028.92 = 103,046.86/x
  3. Step 3: Cross multiply
    152,205.23x = 210,028.92 × 103,046.86
  4. Step 4: Simplify right side
    152,205.23x = 21,642,819,665.05
  5. Step 5: Solve for x
    x = 21,642,819,665.05/152,205.23
  6. Step 6: Final answer
    x = 142,194.98

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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.