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Finding the Fourth Proportional to 232,813.40, 349,220.10 and 161,954.60

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Solution

The fourth proportional to 232,813.40, 349,220.10 and 161,954.60 is: 242,931.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,813.40 : 349,220.10 = 161,954.60 : x
  2. Step 2: Convert to fraction form
    232,813.40/349,220.10 = 161,954.60/x
  3. Step 3: Cross multiply
    232,813.40x = 349,220.10 × 161,954.60
  4. Step 4: Simplify right side
    232,813.40x = 56,557,801,607.46
  5. Step 5: Solve for x
    x = 56,557,801,607.46/232,813.40
  6. Step 6: Final answer
    x = 242,931.90

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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.