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Finding the Fourth Proportional to 161,509.94, 242,274.62 and 68,022.98

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Solution

The fourth proportional to 161,509.94, 242,274.62 and 68,022.98 is: 102,038.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,509.94 : 242,274.62 = 68,022.98 : x
  2. Step 2: Convert to fraction form
    161,509.94/242,274.62 = 68,022.98/x
  3. Step 3: Cross multiply
    161,509.94x = 242,274.62 × 68,022.98
  4. Step 4: Simplify right side
    161,509.94x = 16,480,241,630.77
  5. Step 5: Solve for x
    x = 16,480,241,630.77/161,509.94
  6. Step 6: Final answer
    x = 102,038.56

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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.