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Finding the Fourth Proportional to 201,273.32, 277,464.44 and 140,655.76

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Solution

The fourth proportional to 201,273.32, 277,464.44 and 140,655.76 is: 193,900.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,273.32 : 277,464.44 = 140,655.76 : x
  2. Step 2: Convert to fraction form
    201,273.32/277,464.44 = 140,655.76/x
  3. Step 3: Cross multiply
    201,273.32x = 277,464.44 × 140,655.76
  4. Step 4: Simplify right side
    201,273.32x = 39,026,971,681.17
  5. Step 5: Solve for x
    x = 39,026,971,681.17/201,273.32
  6. Step 6: Final answer
    x = 193,900.37

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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.