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Finding the Fourth Proportional to 200,840.96, 277,159.68 and 111,416.96

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Solution

The fourth proportional to 200,840.96, 277,159.68 and 111,416.96 is: 153,754.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,840.96 : 277,159.68 = 111,416.96 : x
  2. Step 2: Convert to fraction form
    200,840.96/277,159.68 = 111,416.96/x
  3. Step 3: Cross multiply
    200,840.96x = 277,159.68 × 111,416.96
  4. Step 4: Simplify right side
    200,840.96x = 30,880,288,980.17
  5. Step 5: Solve for x
    x = 30,880,288,980.17/200,840.96
  6. Step 6: Final answer
    x = 153,754.94

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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.