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Finding the Fourth Proportional to 101,967.12, 152,923.95 and 45,775.80

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Solution

The fourth proportional to 101,967.12, 152,923.95 and 45,775.80 is: 68,651.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,967.12 : 152,923.95 = 45,775.80 : x
  2. Step 2: Convert to fraction form
    101,967.12/152,923.95 = 45,775.80/x
  3. Step 3: Cross multiply
    101,967.12x = 152,923.95 × 45,775.80
  4. Step 4: Simplify right side
    101,967.12x = 7,000,216,150.41
  5. Step 5: Solve for x
    x = 7,000,216,150.41/101,967.12
  6. Step 6: Final answer
    x = 68,651.70

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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.