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Finding the Fourth Proportional to 180,790.92, 249,465.20 and 100,218.38

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Solution

The fourth proportional to 180,790.92, 249,465.20 and 100,218.38 is: 138,286.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,790.92 : 249,465.20 = 100,218.38 : x
  2. Step 2: Convert to fraction form
    180,790.92/249,465.20 = 100,218.38/x
  3. Step 3: Cross multiply
    180,790.92x = 249,465.20 × 100,218.38
  4. Step 4: Simplify right side
    180,790.92x = 25,000,996,461.96
  5. Step 5: Solve for x
    x = 25,000,996,461.96/180,790.92
  6. Step 6: Final answer
    x = 138,286.79

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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.