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Finding the Fourth Proportional to 233,183.95, 347,957.24 and 208,051.20

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Solution

The fourth proportional to 233,183.95, 347,957.24 and 208,051.20 is: 310,454.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,183.95 : 347,957.24 = 208,051.20 : x
  2. Step 2: Convert to fraction form
    233,183.95/347,957.24 = 208,051.20/x
  3. Step 3: Cross multiply
    233,183.95x = 347,957.24 × 208,051.20
  4. Step 4: Simplify right side
    233,183.95x = 72,392,920,290.43
  5. Step 5: Solve for x
    x = 72,392,920,290.43/233,183.95
  6. Step 6: Final answer
    x = 310,454.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.