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Finding the Fourth Proportional to 184,702, 254,888.82 and 105,214

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Solution

The fourth proportional to 184,702, 254,888.82 and 105,214 is: 145,195.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,702 : 254,888.82 = 105,214 : x
  2. Step 2: Convert to fraction form
    184,702/254,888.82 = 105,214/x
  3. Step 3: Cross multiply
    184,702x = 254,888.82 × 105,214
  4. Step 4: Simplify right side
    184,702x = 26,817,872,307.48
  5. Step 5: Solve for x
    x = 26,817,872,307.48/184,702
  6. Step 6: Final answer
    x = 145,195.35

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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.