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Finding the Fourth Proportional to 301,764.54, 416,435.16 and 165,807.18

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Solution

The fourth proportional to 301,764.54, 416,435.16 and 165,807.18 is: 228,813.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,764.54 : 416,435.16 = 165,807.18 : x
  2. Step 2: Convert to fraction form
    301,764.54/416,435.16 = 165,807.18/x
  3. Step 3: Cross multiply
    301,764.54x = 416,435.16 × 165,807.18
  4. Step 4: Simplify right side
    301,764.54x = 69,047,939,532.45
  5. Step 5: Solve for x
    x = 69,047,939,532.45/301,764.54
  6. Step 6: Final answer
    x = 228,813.96

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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.