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Finding the Fourth Proportional to 161,507.94, 242,271.62 and 68,020.98

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Solution

The fourth proportional to 161,507.94, 242,271.62 and 68,020.98 is: 102,035.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,507.94 : 242,271.62 = 68,020.98 : x
  2. Step 2: Convert to fraction form
    161,507.94/242,271.62 = 68,020.98/x
  3. Step 3: Cross multiply
    161,507.94x = 242,271.62 × 68,020.98
  4. Step 4: Simplify right side
    161,507.94x = 16,479,553,018.59
  5. Step 5: Solve for x
    x = 16,479,553,018.59/161,507.94
  6. Step 6: Final answer
    x = 102,035.56

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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.