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Finding the Fourth Proportional to 200,935.68, 277,294.82 and 110,300.07

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Solution

The fourth proportional to 200,935.68, 277,294.82 and 110,300.07 is: 152,216.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,935.68 : 277,294.82 = 110,300.07 : x
  2. Step 2: Convert to fraction form
    200,935.68/277,294.82 = 110,300.07/x
  3. Step 3: Cross multiply
    200,935.68x = 277,294.82 × 110,300.07
  4. Step 4: Simplify right side
    200,935.68x = 30,585,638,544.99
  5. Step 5: Solve for x
    x = 30,585,638,544.99/200,935.68
  6. Step 6: Final answer
    x = 152,216.07

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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.