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Finding the Fourth Proportional to 421,741.96, 632,547.94 and 137,431.79

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Solution

The fourth proportional to 421,741.96, 632,547.94 and 137,431.79 is: 206,126.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,741.96 : 632,547.94 = 137,431.79 : x
  2. Step 2: Convert to fraction form
    421,741.96/632,547.94 = 137,431.79/x
  3. Step 3: Cross multiply
    421,741.96x = 632,547.94 × 137,431.79
  4. Step 4: Simplify right side
    421,741.96x = 86,932,192,835.85
  5. Step 5: Solve for x
    x = 86,932,192,835.85/421,741.96
  6. Step 6: Final answer
    x = 206,126.50

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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.