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Finding the Fourth Proportional to 200,409.26, 276,569.25 and 114,366.53

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Solution

The fourth proportional to 200,409.26, 276,569.25 and 114,366.53 is: 157,828.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,409.26 : 276,569.25 = 114,366.53 : x
  2. Step 2: Convert to fraction form
    200,409.26/276,569.25 = 114,366.53/x
  3. Step 3: Cross multiply
    200,409.26x = 276,569.25 × 114,366.53
  4. Step 4: Simplify right side
    200,409.26x = 31,630,264,044.36
  5. Step 5: Solve for x
    x = 31,630,264,044.36/200,409.26
  6. Step 6: Final answer
    x = 157,828.35

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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.