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Finding the Fourth Proportional to 100,405.98, 150,557.54 and 53,046.50

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Solution

The fourth proportional to 100,405.98, 150,557.54 and 53,046.50 is: 79,542.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,405.98 : 150,557.54 = 53,046.50 : x
  2. Step 2: Convert to fraction form
    100,405.98/150,557.54 = 53,046.50/x
  3. Step 3: Cross multiply
    100,405.98x = 150,557.54 × 53,046.50
  4. Step 4: Simplify right side
    100,405.98x = 7,986,549,527.59
  5. Step 5: Solve for x
    x = 7,986,549,527.59/100,405.98
  6. Step 6: Final answer
    x = 79,542.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.