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Finding the Fourth Proportional to 241,577.64, 362,395.26 and 116,829

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Solution

The fourth proportional to 241,577.64, 362,395.26 and 116,829 is: 175,257.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,577.64 : 362,395.26 = 116,829 : x
  2. Step 2: Convert to fraction form
    241,577.64/362,395.26 = 116,829/x
  3. Step 3: Cross multiply
    241,577.64x = 362,395.26 × 116,829
  4. Step 4: Simplify right side
    241,577.64x = 42,338,275,830.54
  5. Step 5: Solve for x
    x = 42,338,275,830.54/241,577.64
  6. Step 6: Final answer
    x = 175,257.43

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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.