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Finding the Fourth Proportional to 161,341.84, 242,045.43 and 67,847.50

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Solution

The fourth proportional to 161,341.84, 242,045.43 and 67,847.50 is: 101,784.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,341.84 : 242,045.43 = 67,847.50 : x
  2. Step 2: Convert to fraction form
    161,341.84/242,045.43 = 67,847.50/x
  3. Step 3: Cross multiply
    161,341.84x = 242,045.43 × 67,847.50
  4. Step 4: Simplify right side
    161,341.84x = 16,422,177,311.93
  5. Step 5: Solve for x
    x = 16,422,177,311.93/161,341.84
  6. Step 6: Final answer
    x = 101,784.99

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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.