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Finding the Fourth Proportional to 180,582.68, 249,121.38 and 116,940.98

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Solution

The fourth proportional to 180,582.68, 249,121.38 and 116,940.98 is: 161,324.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,582.68 : 249,121.38 = 116,940.98 : x
  2. Step 2: Convert to fraction form
    180,582.68/249,121.38 = 116,940.98/x
  3. Step 3: Cross multiply
    180,582.68x = 249,121.38 × 116,940.98
  4. Step 4: Simplify right side
    180,582.68x = 29,132,498,316.15
  5. Step 5: Solve for x
    x = 29,132,498,316.15/180,582.68
  6. Step 6: Final answer
    x = 161,324.99

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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.