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Finding the Fourth Proportional to 294,130.89, 405,942.71 and 165,083.13

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Solution

The fourth proportional to 294,130.89, 405,942.71 and 165,083.13 is: 227,838.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,130.89 : 405,942.71 = 165,083.13 : x
  2. Step 2: Convert to fraction form
    294,130.89/405,942.71 = 165,083.13/x
  3. Step 3: Cross multiply
    294,130.89x = 405,942.71 × 165,083.13
  4. Step 4: Simplify right side
    294,130.89x = 67,014,292,342.07
  5. Step 5: Solve for x
    x = 67,014,292,342.07/294,130.89
  6. Step 6: Final answer
    x = 227,838.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.