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Finding the Fourth Proportional to 161,893.80, 242,840.70 and 144,835.20

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Solution

The fourth proportional to 161,893.80, 242,840.70 and 144,835.20 is: 217,252.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,893.80 : 242,840.70 = 144,835.20 : x
  2. Step 2: Convert to fraction form
    161,893.80/242,840.70 = 144,835.20/x
  3. Step 3: Cross multiply
    161,893.80x = 242,840.70 × 144,835.20
  4. Step 4: Simplify right side
    161,893.80x = 35,171,881,352.64
  5. Step 5: Solve for x
    x = 35,171,881,352.64/161,893.80
  6. Step 6: Final answer
    x = 217,252.80

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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.