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Finding the Fourth Proportional to 256,134.46, 353,463.90 and 141,420.25

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Solution

The fourth proportional to 256,134.46, 353,463.90 and 141,420.25 is: 195,159.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,134.46 : 353,463.90 = 141,420.25 : x
  2. Step 2: Convert to fraction form
    256,134.46/353,463.90 = 141,420.25/x
  3. Step 3: Cross multiply
    256,134.46x = 353,463.90 × 141,420.25
  4. Step 4: Simplify right side
    256,134.46x = 49,986,953,810.97
  5. Step 5: Solve for x
    x = 49,986,953,810.97/256,134.46
  6. Step 6: Final answer
    x = 195,159.03

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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.