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Finding the Fourth Proportional to 114,803.76, 172,222.92 and 40,926

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Solution

The fourth proportional to 114,803.76, 172,222.92 and 40,926 is: 61,395.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,803.76 : 172,222.92 = 40,926 : x
  2. Step 2: Convert to fraction form
    114,803.76/172,222.92 = 40,926/x
  3. Step 3: Cross multiply
    114,803.76x = 172,222.92 × 40,926
  4. Step 4: Simplify right side
    114,803.76x = 7,048,395,223.92
  5. Step 5: Solve for x
    x = 7,048,395,223.92/114,803.76
  6. Step 6: Final answer
    x = 61,395.16

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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.