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Finding the Fourth Proportional to 122,829.60, 184,136.40 and 83,258.40

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Solution

The fourth proportional to 122,829.60, 184,136.40 and 83,258.40 is: 124,814.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,829.60 : 184,136.40 = 83,258.40 : x
  2. Step 2: Convert to fraction form
    122,829.60/184,136.40 = 83,258.40/x
  3. Step 3: Cross multiply
    122,829.60x = 184,136.40 × 83,258.40
  4. Step 4: Simplify right side
    122,829.60x = 15,330,902,045.76
  5. Step 5: Solve for x
    x = 15,330,902,045.76/122,829.60
  6. Step 6: Final answer
    x = 124,814.39

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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.