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Finding the Fourth Proportional to 265,452, 366,323.78 and 146,220

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Solution

The fourth proportional to 265,452, 366,323.78 and 146,220 is: 201,783.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,452 : 366,323.78 = 146,220 : x
  2. Step 2: Convert to fraction form
    265,452/366,323.78 = 146,220/x
  3. Step 3: Cross multiply
    265,452x = 366,323.78 × 146,220
  4. Step 4: Simplify right side
    265,452x = 53,563,863,111.60
  5. Step 5: Solve for x
    x = 53,563,863,111.60/265,452
  6. Step 6: Final answer
    x = 201,783.61

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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.