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Finding the Fourth Proportional to 180,902.36, 249,660.20 and 100,355.85

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Solution

The fourth proportional to 180,902.36, 249,660.20 and 100,355.85 is: 138,499.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,902.36 : 249,660.20 = 100,355.85 : x
  2. Step 2: Convert to fraction form
    180,902.36/249,660.20 = 100,355.85/x
  3. Step 3: Cross multiply
    180,902.36x = 249,660.20 × 100,355.85
  4. Step 4: Simplify right side
    180,902.36x = 25,054,861,833.06
  5. Step 5: Solve for x
    x = 25,054,861,833.06/180,902.36
  6. Step 6: Final answer
    x = 138,499.36

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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.