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Finding the Fourth Proportional to 180,798.26, 249,529.22 and 115,415.33

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Solution

The fourth proportional to 180,798.26, 249,529.22 and 115,415.33 is: 159,290.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,798.26 : 249,529.22 = 115,415.33 : x
  2. Step 2: Convert to fraction form
    180,798.26/249,529.22 = 115,415.33/x
  3. Step 3: Cross multiply
    180,798.26x = 249,529.22 × 115,415.33
  4. Step 4: Simplify right side
    180,798.26x = 28,799,497,750.50
  5. Step 5: Solve for x
    x = 28,799,497,750.50/180,798.26
  6. Step 6: Final answer
    x = 159,290.79

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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.