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Finding the Fourth Proportional to 180,857.16, 249,578.64 and 100,283.94

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Solution

The fourth proportional to 180,857.16, 249,578.64 and 100,283.94 is: 138,389.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,857.16 : 249,578.64 = 100,283.94 : x
  2. Step 2: Convert to fraction form
    180,857.16/249,578.64 = 100,283.94/x
  3. Step 3: Cross multiply
    180,857.16x = 249,578.64 × 100,283.94
  4. Step 4: Simplify right side
    180,857.16x = 25,028,729,359.04
  5. Step 5: Solve for x
    x = 25,028,729,359.04/180,857.16
  6. Step 6: Final answer
    x = 138,389.49

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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.