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Finding the Fourth Proportional to 103,816.30, 155,666.85 and 41,416.30

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Solution

The fourth proportional to 103,816.30, 155,666.85 and 41,416.30 is: 62,101.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,816.30 : 155,666.85 = 41,416.30 : x
  2. Step 2: Convert to fraction form
    103,816.30/155,666.85 = 41,416.30/x
  3. Step 3: Cross multiply
    103,816.30x = 155,666.85 × 41,416.30
  4. Step 4: Simplify right side
    103,816.30x = 6,447,144,959.66
  5. Step 5: Solve for x
    x = 6,447,144,959.66/103,816.30
  6. Step 6: Final answer
    x = 62,101.47

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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.