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Finding the Fourth Proportional to 122,283.60, 183,279.60 and 51,206.10

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Solution

The fourth proportional to 122,283.60, 183,279.60 and 51,206.10 is: 76,748.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,283.60 : 183,279.60 = 51,206.10 : x
  2. Step 2: Convert to fraction form
    122,283.60/183,279.60 = 51,206.10/x
  3. Step 3: Cross multiply
    122,283.60x = 183,279.60 × 51,206.10
  4. Step 4: Simplify right side
    122,283.60x = 9,385,033,525.56
  5. Step 5: Solve for x
    x = 9,385,033,525.56/122,283.60
  6. Step 6: Final answer
    x = 76,748.10

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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.