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Finding the Fourth Proportional to 200,980.78, 277,354.23 and 110,346.03

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Solution

The fourth proportional to 200,980.78, 277,354.23 and 110,346.03 is: 152,277.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,980.78 : 277,354.23 = 110,346.03 : x
  2. Step 2: Convert to fraction form
    200,980.78/277,354.23 = 110,346.03/x
  3. Step 3: Cross multiply
    200,980.78x = 277,354.23 × 110,346.03
  4. Step 4: Simplify right side
    200,980.78x = 30,604,937,770.41
  5. Step 5: Solve for x
    x = 30,604,937,770.41/200,980.78
  6. Step 6: Final answer
    x = 152,277.93

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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.