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Finding the Fourth Proportional to 180,800.80, 249,488.30 and 100,221.46

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Solution

The fourth proportional to 180,800.80, 249,488.30 and 100,221.46 is: 138,296.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,800.80 : 249,488.30 = 100,221.46 : x
  2. Step 2: Convert to fraction form
    180,800.80/249,488.30 = 100,221.46/x
  3. Step 3: Cross multiply
    180,800.80x = 249,488.30 × 100,221.46
  4. Step 4: Simplify right side
    180,800.80x = 25,004,081,678.92
  5. Step 5: Solve for x
    x = 25,004,081,678.92/180,800.80
  6. Step 6: Final answer
    x = 138,296.30

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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.