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Finding the Fourth Proportional to 237,783.83, 328,144.34 and 135,822.80

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Solution

The fourth proportional to 237,783.83, 328,144.34 and 135,822.80 is: 187,436.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,783.83 : 328,144.34 = 135,822.80 : x
  2. Step 2: Convert to fraction form
    237,783.83/328,144.34 = 135,822.80/x
  3. Step 3: Cross multiply
    237,783.83x = 328,144.34 × 135,822.80
  4. Step 4: Simplify right side
    237,783.83x = 44,569,484,222.87
  5. Step 5: Solve for x
    x = 44,569,484,222.87/237,783.83
  6. Step 6: Final answer
    x = 187,436.99

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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.