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Finding the Fourth Proportional to 110,185.10, 165,281.54 and 35,295.51

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Solution

The fourth proportional to 110,185.10, 165,281.54 and 35,295.51 is: 52,944.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,185.10 : 165,281.54 = 35,295.51 : x
  2. Step 2: Convert to fraction form
    110,185.10/165,281.54 = 35,295.51/x
  3. Step 3: Cross multiply
    110,185.10x = 165,281.54 × 35,295.51
  4. Step 4: Simplify right side
    110,185.10x = 5,833,696,071.41
  5. Step 5: Solve for x
    x = 5,833,696,071.41/110,185.10
  6. Step 6: Final answer
    x = 52,944.51

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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.