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Finding the Fourth Proportional to 301,871.86, 416,581.05 and 165,907.06

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Solution

The fourth proportional to 301,871.86, 416,581.05 and 165,907.06 is: 228,950.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,871.86 : 416,581.05 = 165,907.06 : x
  2. Step 2: Convert to fraction form
    301,871.86/416,581.05 = 165,907.06/x
  3. Step 3: Cross multiply
    301,871.86x = 416,581.05 × 165,907.06
  4. Step 4: Simplify right side
    301,871.86x = 69,113,737,257.21
  5. Step 5: Solve for x
    x = 69,113,737,257.21/301,871.86
  6. Step 6: Final answer
    x = 228,950.58

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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.