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Finding the Fourth Proportional to 184,169, 276,296.36 and 57,802.32

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Solution

The fourth proportional to 184,169, 276,296.36 and 57,802.32 is: 86,716.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,169 : 276,296.36 = 57,802.32 : x
  2. Step 2: Convert to fraction form
    184,169/276,296.36 = 57,802.32/x
  3. Step 3: Cross multiply
    184,169x = 276,296.36 × 57,802.32
  4. Step 4: Simplify right side
    184,169x = 15,970,570,615.56
  5. Step 5: Solve for x
    x = 15,970,570,615.56/184,169
  6. Step 6: Final answer
    x = 86,716.93

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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.