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Finding the Fourth Proportional to 122,802.60, 184,301.10 and 47,958.60

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Solution

The fourth proportional to 122,802.60, 184,301.10 and 47,958.60 is: 71,975.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,802.60 : 184,301.10 = 47,958.60 : x
  2. Step 2: Convert to fraction form
    122,802.60/184,301.10 = 47,958.60/x
  3. Step 3: Cross multiply
    122,802.60x = 184,301.10 × 47,958.60
  4. Step 4: Simplify right side
    122,802.60x = 8,838,822,734.46
  5. Step 5: Solve for x
    x = 8,838,822,734.46/122,802.60
  6. Step 6: Final answer
    x = 71,975.86

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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.