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Finding the Fourth Proportional to 180,504, 249,113.92 and 104,025.84

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Solution

The fourth proportional to 180,504, 249,113.92 and 104,025.84 is: 143,566.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,504 : 249,113.92 = 104,025.84 : x
  2. Step 2: Convert to fraction form
    180,504/249,113.92 = 104,025.84/x
  3. Step 3: Cross multiply
    180,504x = 249,113.92 × 104,025.84
  4. Step 4: Simplify right side
    180,504x = 25,914,284,783.69
  5. Step 5: Solve for x
    x = 25,914,284,783.69/180,504
  6. Step 6: Final answer
    x = 143,566.26

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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.