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Finding the Fourth Proportional to 145,888.38, 201,201.84 and 100,638.54

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Solution

The fourth proportional to 145,888.38, 201,201.84 and 100,638.54 is: 138,795.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,888.38 : 201,201.84 = 100,638.54 : x
  2. Step 2: Convert to fraction form
    145,888.38/201,201.84 = 100,638.54/x
  3. Step 3: Cross multiply
    145,888.38x = 201,201.84 × 100,638.54
  4. Step 4: Simplify right side
    145,888.38x = 20,248,659,422.91
  5. Step 5: Solve for x
    x = 20,248,659,422.91/145,888.38
  6. Step 6: Final answer
    x = 138,795.56

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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.