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Finding the Fourth Proportional to 200,984.42, 277,357.32 and 110,341.88

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Solution

The fourth proportional to 200,984.42, 277,357.32 and 110,341.88 is: 152,271.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,984.42 : 277,357.32 = 110,341.88 : x
  2. Step 2: Convert to fraction form
    200,984.42/277,357.32 = 110,341.88/x
  3. Step 3: Cross multiply
    200,984.42x = 277,357.32 × 110,341.88
  4. Step 4: Simplify right side
    200,984.42x = 30,604,128,120.56
  5. Step 5: Solve for x
    x = 30,604,128,120.56/200,984.42
  6. Step 6: Final answer
    x = 152,271.15

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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.