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Finding the Fourth Proportional to 213,829.92, 295,080.60 and 117,033.28

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Solution

The fourth proportional to 213,829.92, 295,080.60 and 117,033.28 is: 161,503.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,829.92 : 295,080.60 = 117,033.28 : x
  2. Step 2: Convert to fraction form
    213,829.92/295,080.60 = 117,033.28/x
  3. Step 3: Cross multiply
    213,829.92x = 295,080.60 × 117,033.28
  4. Step 4: Simplify right side
    213,829.92x = 34,534,250,482.37
  5. Step 5: Solve for x
    x = 34,534,250,482.37/213,829.92
  6. Step 6: Final answer
    x = 161,503.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.