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Finding the Fourth Proportional to 180,511.14, 249,170.81 and 105,059.64

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Solution

The fourth proportional to 180,511.14, 249,170.81 and 105,059.64 is: 145,020.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,511.14 : 249,170.81 = 105,059.64 : x
  2. Step 2: Convert to fraction form
    180,511.14/249,170.81 = 105,059.64/x
  3. Step 3: Cross multiply
    180,511.14x = 249,170.81 × 105,059.64
  4. Step 4: Simplify right side
    180,511.14x = 26,177,795,071.81
  5. Step 5: Solve for x
    x = 26,177,795,071.81/180,511.14
  6. Step 6: Final answer
    x = 145,020.39

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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.