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Finding the Fourth Proportional to 145,515.99, 200,809.10 and 85,122.39

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Solution

The fourth proportional to 145,515.99, 200,809.10 and 85,122.39 is: 117,467.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,515.99 : 200,809.10 = 85,122.39 : x
  2. Step 2: Convert to fraction form
    145,515.99/200,809.10 = 85,122.39/x
  3. Step 3: Cross multiply
    145,515.99x = 200,809.10 × 85,122.39
  4. Step 4: Simplify right side
    145,515.99x = 17,093,350,100.14
  5. Step 5: Solve for x
    x = 17,093,350,100.14/145,515.99
  6. Step 6: Final answer
    x = 117,467.16

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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.