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Finding the Fourth Proportional to 184,632, 254,792.16 and 105,159.36

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Solution

The fourth proportional to 184,632, 254,792.16 and 105,159.36 is: 145,119.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,632 : 254,792.16 = 105,159.36 : x
  2. Step 2: Convert to fraction form
    184,632/254,792.16 = 105,159.36/x
  3. Step 3: Cross multiply
    184,632x = 254,792.16 × 105,159.36
  4. Step 4: Simplify right side
    184,632x = 26,793,780,478.62
  5. Step 5: Solve for x
    x = 26,793,780,478.62/184,632
  6. Step 6: Final answer
    x = 145,119.92

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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.