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Finding the Fourth Proportional to 249,959.94, 374,938.10 and 100,198.05

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Solution

The fourth proportional to 249,959.94, 374,938.10 and 100,198.05 is: 150,296.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,959.94 : 374,938.10 = 100,198.05 : x
  2. Step 2: Convert to fraction form
    249,959.94/374,938.10 = 100,198.05/x
  3. Step 3: Cross multiply
    249,959.94x = 374,938.10 × 100,198.05
  4. Step 4: Simplify right side
    249,959.94x = 37,568,066,490.71
  5. Step 5: Solve for x
    x = 37,568,066,490.71/249,959.94
  6. Step 6: Final answer
    x = 150,296.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.