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Finding the Fourth Proportional to 249,471.36, 344,269.44 and 136,296

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Solution

The fourth proportional to 249,471.36, 344,269.44 and 136,296 is: 188,087.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,471.36 : 344,269.44 = 136,296 : x
  2. Step 2: Convert to fraction form
    249,471.36/344,269.44 = 136,296/x
  3. Step 3: Cross multiply
    249,471.36x = 344,269.44 × 136,296
  4. Step 4: Simplify right side
    249,471.36x = 46,922,547,594.24
  5. Step 5: Solve for x
    x = 46,922,547,594.24/249,471.36
  6. Step 6: Final answer
    x = 188,087.91

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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.