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Finding the Fourth Proportional to 278,307.48, 384,064.47 and 150,983.06

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Solution

The fourth proportional to 278,307.48, 384,064.47 and 150,983.06 is: 208,356.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,307.48 : 384,064.47 = 150,983.06 : x
  2. Step 2: Convert to fraction form
    278,307.48/384,064.47 = 150,983.06/x
  3. Step 3: Cross multiply
    278,307.48x = 384,064.47 × 150,983.06
  4. Step 4: Simplify right side
    278,307.48x = 57,987,229,878.04
  5. Step 5: Solve for x
    x = 57,987,229,878.04/278,307.48
  6. Step 6: Final answer
    x = 208,356.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.