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Finding the Fourth Proportional to 102,322.56, 153,504.66 and 43,158.44

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Solution

The fourth proportional to 102,322.56, 153,504.66 and 43,158.44 is: 64,746.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,322.56 : 153,504.66 = 43,158.44 : x
  2. Step 2: Convert to fraction form
    102,322.56/153,504.66 = 43,158.44/x
  3. Step 3: Cross multiply
    102,322.56x = 153,504.66 × 43,158.44
  4. Step 4: Simplify right side
    102,322.56x = 6,625,021,658.33
  5. Step 5: Solve for x
    x = 6,625,021,658.33/102,322.56
  6. Step 6: Final answer
    x = 64,746.44

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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.