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Finding the Fourth Proportional to 341,100.75, 470,722.65 and 188,145.60

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Solution

The fourth proportional to 341,100.75, 470,722.65 and 188,145.60 is: 259,642.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,100.75 : 470,722.65 = 188,145.60 : x
  2. Step 2: Convert to fraction form
    341,100.75/470,722.65 = 188,145.60/x
  3. Step 3: Cross multiply
    341,100.75x = 470,722.65 × 188,145.60
  4. Step 4: Simplify right side
    341,100.75x = 88,564,395,417.84
  5. Step 5: Solve for x
    x = 88,564,395,417.84/341,100.75
  6. Step 6: Final answer
    x = 259,642.92

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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.