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Finding the Fourth Proportional to 297,830.93, 446,650.34 and 98,103.83

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Solution

The fourth proportional to 297,830.93, 446,650.34 and 98,103.83 is: 147,124.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,830.93 : 446,650.34 = 98,103.83 : x
  2. Step 2: Convert to fraction form
    297,830.93/446,650.34 = 98,103.83/x
  3. Step 3: Cross multiply
    297,830.93x = 446,650.34 × 98,103.83
  4. Step 4: Simplify right side
    297,830.93x = 43,818,106,301.03
  5. Step 5: Solve for x
    x = 43,818,106,301.03/297,830.93
  6. Step 6: Final answer
    x = 147,124.10

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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.