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Finding the Fourth Proportional to 301,766.06, 416,444.66 and 165,808.81

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Solution

The fourth proportional to 301,766.06, 416,444.66 and 165,808.81 is: 228,820.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,766.06 : 416,444.66 = 165,808.81 : x
  2. Step 2: Convert to fraction form
    301,766.06/416,444.66 = 165,808.81/x
  3. Step 3: Cross multiply
    301,766.06x = 416,444.66 × 165,808.81
  4. Step 4: Simplify right side
    301,766.06x = 69,050,193,818.75
  5. Step 5: Solve for x
    x = 69,050,193,818.75/301,766.06
  6. Step 6: Final answer
    x = 228,820.28

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Why These Related Problems?

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