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Finding the Fourth Proportional to 256,348.80, 353,762.64 and 184,751.28

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Solution

The fourth proportional to 256,348.80, 353,762.64 and 184,751.28 is: 254,957.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,348.80 : 353,762.64 = 184,751.28 : x
  2. Step 2: Convert to fraction form
    256,348.80/353,762.64 = 184,751.28/x
  3. Step 3: Cross multiply
    256,348.80x = 353,762.64 × 184,751.28
  4. Step 4: Simplify right side
    256,348.80x = 65,358,100,556.18
  5. Step 5: Solve for x
    x = 65,358,100,556.18/256,348.80
  6. Step 6: Final answer
    x = 254,957.70

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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.