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Finding the Fourth Proportional to 285,830.22, 428,745.33 and 98,739.66

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Solution

The fourth proportional to 285,830.22, 428,745.33 and 98,739.66 is: 148,109.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,830.22 : 428,745.33 = 98,739.66 : x
  2. Step 2: Convert to fraction form
    285,830.22/428,745.33 = 98,739.66/x
  3. Step 3: Cross multiply
    285,830.22x = 428,745.33 × 98,739.66
  4. Step 4: Simplify right side
    285,830.22x = 42,334,168,110.79
  5. Step 5: Solve for x
    x = 42,334,168,110.79/285,830.22
  6. Step 6: Final answer
    x = 148,109.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.