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Finding the Fourth Proportional to 180,971.70, 249,738.75 and 100,397.22

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Solution

The fourth proportional to 180,971.70, 249,738.75 and 100,397.22 is: 138,546.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,971.70 : 249,738.75 = 100,397.22 : x
  2. Step 2: Convert to fraction form
    180,971.70/249,738.75 = 100,397.22/x
  3. Step 3: Cross multiply
    180,971.70x = 249,738.75 × 100,397.22
  4. Step 4: Simplify right side
    180,971.70x = 25,073,076,226.28
  5. Step 5: Solve for x
    x = 25,073,076,226.28/180,971.70
  6. Step 6: Final answer
    x = 138,546.95

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