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Finding the Fourth Proportional to 254,813.30, 382,256.40 and 77,334.20

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Solution

The fourth proportional to 254,813.30, 382,256.40 and 77,334.20 is: 116,012.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,813.30 : 382,256.40 = 77,334.20 : x
  2. Step 2: Convert to fraction form
    254,813.30/382,256.40 = 77,334.20/x
  3. Step 3: Cross multiply
    254,813.30x = 382,256.40 × 77,334.20
  4. Step 4: Simplify right side
    254,813.30x = 29,561,492,888.88
  5. Step 5: Solve for x
    x = 29,561,492,888.88/254,813.30
  6. Step 6: Final answer
    x = 116,012.36

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