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Finding the Fourth Proportional to 256,159.44, 353,474.56 and 141,430.64

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Solution

The fourth proportional to 256,159.44, 353,474.56 and 141,430.64 is: 195,160.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,159.44 : 353,474.56 = 141,430.64 : x
  2. Step 2: Convert to fraction form
    256,159.44/353,474.56 = 141,430.64/x
  3. Step 3: Cross multiply
    256,159.44x = 353,474.56 × 141,430.64
  4. Step 4: Simplify right side
    256,159.44x = 49,992,133,244.52
  5. Step 5: Solve for x
    x = 49,992,133,244.52/256,159.44
  6. Step 6: Final answer
    x = 195,160.22

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1.5x scale

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.