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Finding the Fourth Proportional to 257,279.44, 355,041.48 and 144,101.84

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Solution

The fourth proportional to 257,279.44, 355,041.48 and 144,101.84 is: 198,858.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,279.44 : 355,041.48 = 144,101.84 : x
  2. Step 2: Convert to fraction form
    257,279.44/355,041.48 = 144,101.84/x
  3. Step 3: Cross multiply
    257,279.44x = 355,041.48 × 144,101.84
  4. Step 4: Simplify right side
    257,279.44x = 51,162,130,544.32
  5. Step 5: Solve for x
    x = 51,162,130,544.32/257,279.44
  6. Step 6: Final answer
    x = 198,858.22

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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.