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Finding the Fourth Proportional to 254,672, 382,032.30 and 104,922.44

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Solution

The fourth proportional to 254,672, 382,032.30 and 104,922.44 is: 157,393.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,672 : 382,032.30 = 104,922.44 : x
  2. Step 2: Convert to fraction form
    254,672/382,032.30 = 104,922.44/x
  3. Step 3: Cross multiply
    254,672x = 382,032.30 × 104,922.44
  4. Step 4: Simplify right side
    254,672x = 40,083,761,074.81
  5. Step 5: Solve for x
    x = 40,083,761,074.81/254,672
  6. Step 6: Final answer
    x = 157,393.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.