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Finding the Fourth Proportional to 200,783.94, 277,084.44 and 110,134.02

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Solution

The fourth proportional to 200,783.94, 277,084.44 and 110,134.02 is: 151,986.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,783.94 : 277,084.44 = 110,134.02 : x
  2. Step 2: Convert to fraction form
    200,783.94/277,084.44 = 110,134.02/x
  3. Step 3: Cross multiply
    200,783.94x = 277,084.44 × 110,134.02
  4. Step 4: Simplify right side
    200,783.94x = 30,516,423,256.65
  5. Step 5: Solve for x
    x = 30,516,423,256.65/200,783.94
  6. Step 6: Final answer
    x = 151,986.38

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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.