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Finding the Fourth Proportional to 122,097.98, 183,209.42 and 58,128.40

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Solution

The fourth proportional to 122,097.98, 183,209.42 and 58,128.40 is: 87,222.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,097.98 : 183,209.42 = 58,128.40 : x
  2. Step 2: Convert to fraction form
    122,097.98/183,209.42 = 58,128.40/x
  3. Step 3: Cross multiply
    122,097.98x = 183,209.42 × 58,128.40
  4. Step 4: Simplify right side
    122,097.98x = 10,649,670,449.53
  5. Step 5: Solve for x
    x = 10,649,670,449.53/122,097.98
  6. Step 6: Final answer
    x = 87,222.33

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1.5x scale

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.