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Finding the Fourth Proportional to 145,354.54, 200,532.32 and 107,205.66

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Solution

The fourth proportional to 145,354.54, 200,532.32 and 107,205.66 is: 147,901.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,354.54 : 200,532.32 = 107,205.66 : x
  2. Step 2: Convert to fraction form
    145,354.54/200,532.32 = 107,205.66/x
  3. Step 3: Cross multiply
    145,354.54x = 200,532.32 × 107,205.66
  4. Step 4: Simplify right side
    145,354.54x = 21,498,199,716.93
  5. Step 5: Solve for x
    x = 21,498,199,716.93/145,354.54
  6. Step 6: Final answer
    x = 147,901.81

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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.