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Finding the Fourth Proportional to 180,696, 249,353.76 and 104,218.26

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Solution

The fourth proportional to 180,696, 249,353.76 and 104,218.26 is: 143,817.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,696 : 249,353.76 = 104,218.26 : x
  2. Step 2: Convert to fraction form
    180,696/249,353.76 = 104,218.26/x
  3. Step 3: Cross multiply
    180,696x = 249,353.76 × 104,218.26
  4. Step 4: Simplify right side
    180,696x = 25,987,214,991.66
  5. Step 5: Solve for x
    x = 25,987,214,991.66/180,696
  6. Step 6: Final answer
    x = 143,817.32

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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.