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Finding the Fourth Proportional to 161,488.26, 242,069.54 and 101,559.56

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Solution

The fourth proportional to 161,488.26, 242,069.54 and 101,559.56 is: 152,236.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,488.26 : 242,069.54 = 101,559.56 : x
  2. Step 2: Convert to fraction form
    161,488.26/242,069.54 = 101,559.56/x
  3. Step 3: Cross multiply
    161,488.26x = 242,069.54 × 101,559.56
  4. Step 4: Simplify right side
    161,488.26x = 24,584,475,971.80
  5. Step 5: Solve for x
    x = 24,584,475,971.80/161,488.26
  6. Step 6: Final answer
    x = 152,236.92

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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.