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Finding the Fourth Proportional to 196,241.60, 294,799.80 and 188,271.20

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Solution

The fourth proportional to 196,241.60, 294,799.80 and 188,271.20 is: 282,826.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,241.60 : 294,799.80 = 188,271.20 : x
  2. Step 2: Convert to fraction form
    196,241.60/294,799.80 = 188,271.20/x
  3. Step 3: Cross multiply
    196,241.60x = 294,799.80 × 188,271.20
  4. Step 4: Simplify right side
    196,241.60x = 55,502,312,105.76
  5. Step 5: Solve for x
    x = 55,502,312,105.76/196,241.60
  6. Step 6: Final answer
    x = 282,826.43

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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.