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Finding the Fourth Proportional to 150,984.33, 208,378.54 and 97,425.03

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Solution

The fourth proportional to 150,984.33, 208,378.54 and 97,425.03 is: 134,459.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,984.33 : 208,378.54 = 97,425.03 : x
  2. Step 2: Convert to fraction form
    150,984.33/208,378.54 = 97,425.03/x
  3. Step 3: Cross multiply
    150,984.33x = 208,378.54 × 97,425.03
  4. Step 4: Simplify right side
    150,984.33x = 20,301,285,510.86
  5. Step 5: Solve for x
    x = 20,301,285,510.86/150,984.33
  6. Step 6: Final answer
    x = 134,459.55

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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.