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Finding the Fourth Proportional to 122,830.46, 183,950.44 and 70,080.02

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Solution

The fourth proportional to 122,830.46, 183,950.44 and 70,080.02 is: 104,951.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,830.46 : 183,950.44 = 70,080.02 : x
  2. Step 2: Convert to fraction form
    122,830.46/183,950.44 = 70,080.02/x
  3. Step 3: Cross multiply
    122,830.46x = 183,950.44 × 70,080.02
  4. Step 4: Simplify right side
    122,830.46x = 12,891,250,514.21
  5. Step 5: Solve for x
    x = 12,891,250,514.21/122,830.46
  6. Step 6: Final answer
    x = 104,951.58

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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.