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Finding the Fourth Proportional to 265,173.36, 365,944.74 and 144,321.36

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Solution

The fourth proportional to 265,173.36, 365,944.74 and 144,321.36 is: 199,166.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,173.36 : 365,944.74 = 144,321.36 : x
  2. Step 2: Convert to fraction form
    265,173.36/365,944.74 = 144,321.36/x
  3. Step 3: Cross multiply
    265,173.36x = 365,944.74 × 144,321.36
  4. Step 4: Simplify right side
    265,173.36x = 52,813,642,561.65
  5. Step 5: Solve for x
    x = 52,813,642,561.65/265,173.36
  6. Step 6: Final answer
    x = 199,166.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.