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Finding the Fourth Proportional to 256,043.64, 353,283.54 and 148,551.32

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Solution

The fourth proportional to 256,043.64, 353,283.54 and 148,551.32 is: 204,967.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,043.64 : 353,283.54 = 148,551.32 : x
  2. Step 2: Convert to fraction form
    256,043.64/353,283.54 = 148,551.32/x
  3. Step 3: Cross multiply
    256,043.64x = 353,283.54 × 148,551.32
  4. Step 4: Simplify right side
    256,043.64x = 52,480,736,201.27
  5. Step 5: Solve for x
    x = 52,480,736,201.27/256,043.64
  6. Step 6: Final answer
    x = 204,967.94

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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.