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Finding the Fourth Proportional to 262,036.58, 361,611.69 and 148,865.54

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Solution

The fourth proportional to 262,036.58, 361,611.69 and 148,865.54 is: 205,435.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,036.58 : 361,611.69 = 148,865.54 : x
  2. Step 2: Convert to fraction form
    262,036.58/361,611.69 = 148,865.54/x
  3. Step 3: Cross multiply
    262,036.58x = 361,611.69 × 148,865.54
  4. Step 4: Simplify right side
    262,036.58x = 53,831,519,502.16
  5. Step 5: Solve for x
    x = 53,831,519,502.16/262,036.58
  6. Step 6: Final answer
    x = 205,435.13

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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.