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Finding the Fourth Proportional to 161,270.80, 241,877.40 and 102,000.40

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Solution

The fourth proportional to 161,270.80, 241,877.40 and 102,000.40 is: 152,982.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,270.80 : 241,877.40 = 102,000.40 : x
  2. Step 2: Convert to fraction form
    161,270.80/241,877.40 = 102,000.40/x
  3. Step 3: Cross multiply
    161,270.80x = 241,877.40 × 102,000.40
  4. Step 4: Simplify right side
    161,270.80x = 24,671,591,550.96
  5. Step 5: Solve for x
    x = 24,671,591,550.96/161,270.80
  6. Step 6: Final answer
    x = 152,982.38

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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.