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Finding the Fourth Proportional to 180,386.71, 270,673.43 and 130,875.46

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Solution

The fourth proportional to 180,386.71, 270,673.43 and 130,875.46 is: 196,380.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,386.71 : 270,673.43 = 130,875.46 : x
  2. Step 2: Convert to fraction form
    180,386.71/270,673.43 = 130,875.46/x
  3. Step 3: Cross multiply
    180,386.71x = 270,673.43 × 130,875.46
  4. Step 4: Simplify right side
    180,386.71x = 35,424,508,329.97
  5. Step 5: Solve for x
    x = 35,424,508,329.97/180,386.71
  6. Step 6: Final answer
    x = 196,380.92

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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.