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Finding the Fourth Proportional to 98,013, 135,257.94 and 53,301

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Solution

The fourth proportional to 98,013, 135,257.94 and 53,301 is: 73,555.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,013 : 135,257.94 = 53,301 : x
  2. Step 2: Convert to fraction form
    98,013/135,257.94 = 53,301/x
  3. Step 3: Cross multiply
    98,013x = 135,257.94 × 53,301
  4. Step 4: Simplify right side
    98,013x = 7,209,383,459.94
  5. Step 5: Solve for x
    x = 7,209,383,459.94/98,013
  6. Step 6: Final answer
    x = 73,555.38

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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.