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Finding the Fourth Proportional to 184,902, 255,164.64 and 100,019.06

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Solution

The fourth proportional to 184,902, 255,164.64 and 100,019.06 is: 138,026.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,902 : 255,164.64 = 100,019.06 : x
  2. Step 2: Convert to fraction form
    184,902/255,164.64 = 100,019.06/x
  3. Step 3: Cross multiply
    184,902x = 255,164.64 × 100,019.06
  4. Step 4: Simplify right side
    184,902x = 25,521,327,438.04
  5. Step 5: Solve for x
    x = 25,521,327,438.04/184,902
  6. Step 6: Final answer
    x = 138,026.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.