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Finding the Fourth Proportional to 231,779.43, 347,815.40 and 98,659.47

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Solution

The fourth proportional to 231,779.43, 347,815.40 and 98,659.47 is: 148,051.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,779.43 : 347,815.40 = 98,659.47 : x
  2. Step 2: Convert to fraction form
    231,779.43/347,815.40 = 98,659.47/x
  3. Step 3: Cross multiply
    231,779.43x = 347,815.40 × 98,659.47
  4. Step 4: Simplify right side
    231,779.43x = 34,315,282,528.54
  5. Step 5: Solve for x
    x = 34,315,282,528.54/231,779.43
  6. Step 6: Final answer
    x = 148,051.46

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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.