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Finding the Fourth Proportional to 297,051.30, 445,686.30 and 97,378.20

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Solution

The fourth proportional to 297,051.30, 445,686.30 and 97,378.20 is: 146,103.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,051.30 : 445,686.30 = 97,378.20 : x
  2. Step 2: Convert to fraction form
    297,051.30/445,686.30 = 97,378.20/x
  3. Step 3: Cross multiply
    297,051.30x = 445,686.30 × 97,378.20
  4. Step 4: Simplify right side
    297,051.30x = 43,400,129,658.66
  5. Step 5: Solve for x
    x = 43,400,129,658.66/297,051.30
  6. Step 6: Final answer
    x = 146,103.15

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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.