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Finding the Fourth Proportional to 200,867.74, 277,196.72 and 110,225.22

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Solution

The fourth proportional to 200,867.74, 277,196.72 and 110,225.22 is: 152,110.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,867.74 : 277,196.72 = 110,225.22 : x
  2. Step 2: Convert to fraction form
    200,867.74/277,196.72 = 110,225.22/x
  3. Step 3: Cross multiply
    200,867.74x = 277,196.72 × 110,225.22
  4. Step 4: Simplify right side
    200,867.74x = 30,554,069,445.28
  5. Step 5: Solve for x
    x = 30,554,069,445.28/200,867.74
  6. Step 6: Final answer
    x = 152,110.39

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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.