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Finding the Fourth Proportional to 180,819.68, 249,524.40 and 101,326.56

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Solution

The fourth proportional to 180,819.68, 249,524.40 and 101,326.56 is: 139,826.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,819.68 : 249,524.40 = 101,326.56 : x
  2. Step 2: Convert to fraction form
    180,819.68/249,524.40 = 101,326.56/x
  3. Step 3: Cross multiply
    180,819.68x = 249,524.40 × 101,326.56
  4. Step 4: Simplify right side
    180,819.68x = 25,283,449,088.06
  5. Step 5: Solve for x
    x = 25,283,449,088.06/180,819.68
  6. Step 6: Final answer
    x = 139,826.87

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Why These Related Problems?

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