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Finding the Fourth Proportional to 101,816.19, 152,662.91 and 45,646.14

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Solution

The fourth proportional to 101,816.19, 152,662.91 and 45,646.14 is: 68,441.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,816.19 : 152,662.91 = 45,646.14 : x
  2. Step 2: Convert to fraction form
    101,816.19/152,662.91 = 45,646.14/x
  3. Step 3: Cross multiply
    101,816.19x = 152,662.91 × 45,646.14
  4. Step 4: Simplify right side
    101,816.19x = 6,968,472,334.44
  5. Step 5: Solve for x
    x = 6,968,472,334.44/101,816.19
  6. Step 6: Final answer
    x = 68,441.69

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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.