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Finding the Fourth Proportional to 180,846.34, 249,561.21 and 100,274.74

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Solution

The fourth proportional to 180,846.34, 249,561.21 and 100,274.74 is: 138,375.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,846.34 : 249,561.21 = 100,274.74 : x
  2. Step 2: Convert to fraction form
    180,846.34/249,561.21 = 100,274.74/x
  3. Step 3: Cross multiply
    180,846.34x = 249,561.21 × 100,274.74
  4. Step 4: Simplify right side
    180,846.34x = 25,024,685,446.84
  5. Step 5: Solve for x
    x = 25,024,685,446.84/180,846.34
  6. Step 6: Final answer
    x = 138,375.40

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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.