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Finding the Fourth Proportional to 200,935.49, 277,290 and 110,293.00

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Solution

The fourth proportional to 200,935.49, 277,290 and 110,293.00 is: 152,203.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,935.49 : 277,290 = 110,293.00 : x
  2. Step 2: Convert to fraction form
    200,935.49/277,290 = 110,293.00/x
  3. Step 3: Cross multiply
    200,935.49x = 277,290 × 110,293.00
  4. Step 4: Simplify right side
    200,935.49x = 30,583,145,276.78
  5. Step 5: Solve for x
    x = 30,583,145,276.78/200,935.49
  6. Step 6: Final answer
    x = 152,203.80

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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.