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Finding the Fourth Proportional to 233,319.40, 349,748.70 and 114,893.80

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Solution

The fourth proportional to 233,319.40, 349,748.70 and 114,893.80 is: 172,227.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,319.40 : 349,748.70 = 114,893.80 : x
  2. Step 2: Convert to fraction form
    233,319.40/349,748.70 = 114,893.80/x
  3. Step 3: Cross multiply
    233,319.40x = 349,748.70 × 114,893.80
  4. Step 4: Simplify right side
    233,319.40x = 40,183,957,188.06
  5. Step 5: Solve for x
    x = 40,183,957,188.06/233,319.40
  6. Step 6: Final answer
    x = 172,227.24

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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.