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Finding the Fourth Proportional to 253,065.93, 379,704.40 and 111,013.16

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Solution

The fourth proportional to 253,065.93, 379,704.40 and 111,013.16 is: 166,566.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,065.93 : 379,704.40 = 111,013.16 : x
  2. Step 2: Convert to fraction form
    253,065.93/379,704.40 = 111,013.16/x
  3. Step 3: Cross multiply
    253,065.93x = 379,704.40 × 111,013.16
  4. Step 4: Simplify right side
    253,065.93x = 42,152,185,309.90
  5. Step 5: Solve for x
    x = 42,152,185,309.90/253,065.93
  6. Step 6: Final answer
    x = 166,566.02

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Why These Related Problems?

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