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Finding the Fourth Proportional to 161,509.80, 242,408.70 and 94,866.60

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Solution

The fourth proportional to 161,509.80, 242,408.70 and 94,866.60 is: 142,384.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,509.80 : 242,408.70 = 94,866.60 : x
  2. Step 2: Convert to fraction form
    161,509.80/242,408.70 = 94,866.60/x
  3. Step 3: Cross multiply
    161,509.80x = 242,408.70 × 94,866.60
  4. Step 4: Simplify right side
    161,509.80x = 22,996,489,179.42
  5. Step 5: Solve for x
    x = 22,996,489,179.42/161,509.80
  6. Step 6: Final answer
    x = 142,384.48

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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.