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Finding the Fourth Proportional to 135,537.64, 203,291.08 and 35,705.64

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Solution

The fourth proportional to 135,537.64, 203,291.08 and 35,705.64 is: 53,554.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,537.64 : 203,291.08 = 35,705.64 : x
  2. Step 2: Convert to fraction form
    135,537.64/203,291.08 = 35,705.64/x
  3. Step 3: Cross multiply
    135,537.64x = 203,291.08 × 35,705.64
  4. Step 4: Simplify right side
    135,537.64x = 7,258,638,117.69
  5. Step 5: Solve for x
    x = 7,258,638,117.69/135,537.64
  6. Step 6: Final answer
    x = 53,554.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.