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Finding the Fourth Proportional to 122,831.60, 184,441.80 and 93,282.80

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Solution

The fourth proportional to 122,831.60, 184,441.80 and 93,282.80 is: 140,071.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,831.60 : 184,441.80 = 93,282.80 : x
  2. Step 2: Convert to fraction form
    122,831.60/184,441.80 = 93,282.80/x
  3. Step 3: Cross multiply
    122,831.60x = 184,441.80 × 93,282.80
  4. Step 4: Simplify right side
    122,831.60x = 17,205,247,541.04
  5. Step 5: Solve for x
    x = 17,205,247,541.04/122,831.60
  6. Step 6: Final answer
    x = 140,071.83

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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.