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Finding the Fourth Proportional to 180,817.19, 249,533.64 and 100,252.22

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Solution

The fourth proportional to 180,817.19, 249,533.64 and 100,252.22 is: 138,351.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,817.19 : 249,533.64 = 100,252.22 : x
  2. Step 2: Convert to fraction form
    180,817.19/249,533.64 = 100,252.22/x
  3. Step 3: Cross multiply
    180,817.19x = 249,533.64 × 100,252.22
  4. Step 4: Simplify right side
    180,817.19x = 25,016,300,127.01
  5. Step 5: Solve for x
    x = 25,016,300,127.01/180,817.19
  6. Step 6: Final answer
    x = 138,351.34

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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.