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Finding the Fourth Proportional to 102,145.98, 153,218.46 and 26,244.45

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Solution

The fourth proportional to 102,145.98, 153,218.46 and 26,244.45 is: 39,366.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,145.98 : 153,218.46 = 26,244.45 : x
  2. Step 2: Convert to fraction form
    102,145.98/153,218.46 = 26,244.45/x
  3. Step 3: Cross multiply
    102,145.98x = 153,218.46 × 26,244.45
  4. Step 4: Simplify right side
    102,145.98x = 4,021,134,212.55
  5. Step 5: Solve for x
    x = 4,021,134,212.55/102,145.98
  6. Step 6: Final answer
    x = 39,366.54

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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.