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Finding the Fourth Proportional to 122,114.70, 183,085.65 and 47,205.90

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Solution

The fourth proportional to 122,114.70, 183,085.65 and 47,205.90 is: 70,775.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,114.70 : 183,085.65 = 47,205.90 : x
  2. Step 2: Convert to fraction form
    122,114.70/183,085.65 = 47,205.90/x
  3. Step 3: Cross multiply
    122,114.70x = 183,085.65 × 47,205.90
  4. Step 4: Simplify right side
    122,114.70x = 8,642,722,885.34
  5. Step 5: Solve for x
    x = 8,642,722,885.34/122,114.70
  6. Step 6: Final answer
    x = 70,775.45

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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.