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Finding the Fourth Proportional to 254,894.76, 382,317.42 and 77,403.30

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Solution

The fourth proportional to 254,894.76, 382,317.42 and 77,403.30 is: 116,097.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,894.76 : 382,317.42 = 77,403.30 : x
  2. Step 2: Convert to fraction form
    254,894.76/382,317.42 = 77,403.30/x
  3. Step 3: Cross multiply
    254,894.76x = 382,317.42 × 77,403.30
  4. Step 4: Simplify right side
    254,894.76x = 29,592,629,955.49
  5. Step 5: Solve for x
    x = 29,592,629,955.49/254,894.76
  6. Step 6: Final answer
    x = 116,097.44

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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.