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Finding the Fourth Proportional to 200,905.51, 277,259.66 and 110,260.68

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Solution

The fourth proportional to 200,905.51, 277,259.66 and 110,260.68 is: 152,165.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,905.51 : 277,259.66 = 110,260.68 : x
  2. Step 2: Convert to fraction form
    200,905.51/277,259.66 = 110,260.68/x
  3. Step 3: Cross multiply
    200,905.51x = 277,259.66 × 110,260.68
  4. Step 4: Simplify right side
    200,905.51x = 30,570,838,640.31
  5. Step 5: Solve for x
    x = 30,570,838,640.31/200,905.51
  6. Step 6: Final answer
    x = 152,165.26

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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.