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Finding the Fourth Proportional to 341,106.70, 470,721.30 and 188,158.84

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Solution

The fourth proportional to 341,106.70, 470,721.30 and 188,158.84 is: 259,655.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,106.70 : 470,721.30 = 188,158.84 : x
  2. Step 2: Convert to fraction form
    341,106.70/470,721.30 = 188,158.84/x
  3. Step 3: Cross multiply
    341,106.70x = 470,721.30 × 188,158.84
  4. Step 4: Simplify right side
    341,106.70x = 88,570,373,771.29
  5. Step 5: Solve for x
    x = 88,570,373,771.29/341,106.70
  6. Step 6: Final answer
    x = 259,655.92

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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.