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Finding the Fourth Proportional to 161,602.91, 242,291.94 and 71,596.79

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Solution

The fourth proportional to 161,602.91, 242,291.94 and 71,596.79 is: 107,345.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,602.91 : 242,291.94 = 71,596.79 : x
  2. Step 2: Convert to fraction form
    161,602.91/242,291.94 = 71,596.79/x
  3. Step 3: Cross multiply
    161,602.91x = 242,291.94 × 71,596.79
  4. Step 4: Simplify right side
    161,602.91x = 17,347,325,752.60
  5. Step 5: Solve for x
    x = 17,347,325,752.60/161,602.91
  6. Step 6: Final answer
    x = 107,345.38

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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.