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Finding the Fourth Proportional to 180,423.10, 270,634.65 and 86,938.30

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Solution

The fourth proportional to 180,423.10, 270,634.65 and 86,938.30 is: 130,407.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,423.10 : 270,634.65 = 86,938.30 : x
  2. Step 2: Convert to fraction form
    180,423.10/270,634.65 = 86,938.30/x
  3. Step 3: Cross multiply
    180,423.10x = 270,634.65 × 86,938.30
  4. Step 4: Simplify right side
    180,423.10x = 23,528,516,392.10
  5. Step 5: Solve for x
    x = 23,528,516,392.10/180,423.10
  6. Step 6: Final answer
    x = 130,407.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.