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Finding the Fourth Proportional to 122,564.30, 183,889.65 and 118,244.30

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Solution

The fourth proportional to 122,564.30, 183,889.65 and 118,244.30 is: 177,408.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,564.30 : 183,889.65 = 118,244.30 : x
  2. Step 2: Convert to fraction form
    122,564.30/183,889.65 = 118,244.30/x
  3. Step 3: Cross multiply
    122,564.30x = 183,889.65 × 118,244.30
  4. Step 4: Simplify right side
    122,564.30x = 21,743,902,941.50
  5. Step 5: Solve for x
    x = 21,743,902,941.50/122,564.30
  6. Step 6: Final answer
    x = 177,408.13

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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.