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Finding the Fourth Proportional to 180,860.25, 249,586.14 and 100,299.68

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Solution

The fourth proportional to 180,860.25, 249,586.14 and 100,299.68 is: 138,413.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,860.25 : 249,586.14 = 100,299.68 : x
  2. Step 2: Convert to fraction form
    180,860.25/249,586.14 = 100,299.68/x
  3. Step 3: Cross multiply
    180,860.25x = 249,586.14 × 100,299.68
  4. Step 4: Simplify right side
    180,860.25x = 25,033,409,974.44
  5. Step 5: Solve for x
    x = 25,033,409,974.44/180,860.25
  6. Step 6: Final answer
    x = 138,413.00

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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.