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Finding the Fourth Proportional to 184,854.42, 255,102.75 and 108,432

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Solution

The fourth proportional to 184,854.42, 255,102.75 and 108,432 is: 149,638.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,854.42 : 255,102.75 = 108,432 : x
  2. Step 2: Convert to fraction form
    184,854.42/255,102.75 = 108,432/x
  3. Step 3: Cross multiply
    184,854.42x = 255,102.75 × 108,432
  4. Step 4: Simplify right side
    184,854.42x = 27,661,301,388
  5. Step 5: Solve for x
    x = 27,661,301,388/184,854.42
  6. Step 6: Final answer
    x = 149,638.30

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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.