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Finding the Fourth Proportional to 130,673.71, 180,431.30 and 100,411.33

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Solution

The fourth proportional to 130,673.71, 180,431.30 and 100,411.33 is: 138,645.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,673.71 : 180,431.30 = 100,411.33 : x
  2. Step 2: Convert to fraction form
    130,673.71/180,431.30 = 100,411.33/x
  3. Step 3: Cross multiply
    130,673.71x = 180,431.30 × 100,411.33
  4. Step 4: Simplify right side
    130,673.71x = 18,117,346,806.63
  5. Step 5: Solve for x
    x = 18,117,346,806.63/130,673.71
  6. Step 6: Final answer
    x = 138,645.69

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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.