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Finding the Fourth Proportional to 122,483.76, 183,553.34 and 97,412.54

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Solution

The fourth proportional to 122,483.76, 183,553.34 and 97,412.54 is: 145,981.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,483.76 : 183,553.34 = 97,412.54 : x
  2. Step 2: Convert to fraction form
    122,483.76/183,553.34 = 97,412.54/x
  3. Step 3: Cross multiply
    122,483.76x = 183,553.34 × 97,412.54
  4. Step 4: Simplify right side
    122,483.76x = 17,880,397,250.49
  5. Step 5: Solve for x
    x = 17,880,397,250.49/122,483.76
  6. Step 6: Final answer
    x = 145,981.78

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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.