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Finding the Fourth Proportional to 180,504.48, 249,099.80 and 107,982.17

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Solution

The fourth proportional to 180,504.48, 249,099.80 and 107,982.17 is: 149,017.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,504.48 : 249,099.80 = 107,982.17 : x
  2. Step 2: Convert to fraction form
    180,504.48/249,099.80 = 107,982.17/x
  3. Step 3: Cross multiply
    180,504.48x = 249,099.80 × 107,982.17
  4. Step 4: Simplify right side
    180,504.48x = 26,898,335,165.16
  5. Step 5: Solve for x
    x = 26,898,335,165.16/180,504.48
  6. Step 6: Final answer
    x = 149,017.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.