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Finding the Fourth Proportional to 297,200.90, 445,855.35 and 97,465.70

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Solution

The fourth proportional to 297,200.90, 445,855.35 and 97,465.70 is: 146,216.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,200.90 : 445,855.35 = 97,465.70 : x
  2. Step 2: Convert to fraction form
    297,200.90/445,855.35 = 97,465.70/x
  3. Step 3: Cross multiply
    297,200.90x = 445,855.35 × 97,465.70
  4. Step 4: Simplify right side
    297,200.90x = 43,455,603,786.50
  5. Step 5: Solve for x
    x = 43,455,603,786.50/297,200.90
  6. Step 6: Final answer
    x = 146,216.26

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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.