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Finding the Fourth Proportional to 251,864.33, 377,794.19 and 102,069

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Solution

The fourth proportional to 251,864.33, 377,794.19 and 102,069 is: 153,102.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,864.33 : 377,794.19 = 102,069 : x
  2. Step 2: Convert to fraction form
    251,864.33/377,794.19 = 102,069/x
  3. Step 3: Cross multiply
    251,864.33x = 377,794.19 × 102,069
  4. Step 4: Simplify right side
    251,864.33x = 38,561,075,434.28
  5. Step 5: Solve for x
    x = 38,561,075,434.28/251,864.33
  6. Step 6: Final answer
    x = 153,102.57

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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.