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Finding the Fourth Proportional to 122,814.51, 184,221.74 and 34,068.02

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Solution

The fourth proportional to 122,814.51, 184,221.74 and 34,068.02 is: 51,102.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,814.51 : 184,221.74 = 34,068.02 : x
  2. Step 2: Convert to fraction form
    122,814.51/184,221.74 = 34,068.02/x
  3. Step 3: Cross multiply
    122,814.51x = 184,221.74 × 34,068.02
  4. Step 4: Simplify right side
    122,814.51x = 6,276,068,831.31
  5. Step 5: Solve for x
    x = 6,276,068,831.31/122,814.51
  6. Step 6: Final answer
    x = 51,102.01

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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.