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Finding the Fourth Proportional to 164,011.80, 245,823.30 and 69,241.80

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Solution

The fourth proportional to 164,011.80, 245,823.30 and 69,241.80 is: 103,780.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,011.80 : 245,823.30 = 69,241.80 : x
  2. Step 2: Convert to fraction form
    164,011.80/245,823.30 = 69,241.80/x
  3. Step 3: Cross multiply
    164,011.80x = 245,823.30 × 69,241.80
  4. Step 4: Simplify right side
    164,011.80x = 17,021,247,773.94
  5. Step 5: Solve for x
    x = 17,021,247,773.94/164,011.80
  6. Step 6: Final answer
    x = 103,780.63

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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.