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Finding the Fourth Proportional to 200,750.88, 277,125.10 and 140,558.16

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Solution

The fourth proportional to 200,750.88, 277,125.10 and 140,558.16 is: 194,032.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,750.88 : 277,125.10 = 140,558.16 : x
  2. Step 2: Convert to fraction form
    200,750.88/277,125.10 = 140,558.16/x
  3. Step 3: Cross multiply
    200,750.88x = 277,125.10 × 140,558.16
  4. Step 4: Simplify right side
    200,750.88x = 38,952,194,145.82
  5. Step 5: Solve for x
    x = 38,952,194,145.82/200,750.88
  6. Step 6: Final answer
    x = 194,032.50

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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.