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Finding the Fourth Proportional to 254,649.03, 382,013.16 and 77,113.77

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Solution

The fourth proportional to 254,649.03, 382,013.16 and 77,113.77 is: 115,682.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,649.03 : 382,013.16 = 77,113.77 : x
  2. Step 2: Convert to fraction form
    254,649.03/382,013.16 = 77,113.77/x
  3. Step 3: Cross multiply
    254,649.03x = 382,013.16 × 77,113.77
  4. Step 4: Simplify right side
    254,649.03x = 29,458,474,957.21
  5. Step 5: Solve for x
    x = 29,458,474,957.21/254,649.03
  6. Step 6: Final answer
    x = 115,682.65

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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.