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Finding the Fourth Proportional to 233,098.42, 349,647.63 and 154,194.19

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Solution

The fourth proportional to 233,098.42, 349,647.63 and 154,194.19 is: 231,291.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,098.42 : 349,647.63 = 154,194.19 : x
  2. Step 2: Convert to fraction form
    233,098.42/349,647.63 = 154,194.19/x
  3. Step 3: Cross multiply
    233,098.42x = 349,647.63 × 154,194.19
  4. Step 4: Simplify right side
    233,098.42x = 53,913,633,093.27
  5. Step 5: Solve for x
    x = 53,913,633,093.27/233,098.42
  6. Step 6: Final answer
    x = 231,291.29

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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.