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Finding the Fourth Proportional to 256,238.94, 353,604.34 and 141,510.90

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Solution

The fourth proportional to 256,238.94, 353,604.34 and 141,510.90 is: 195,282.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,238.94 : 353,604.34 = 141,510.90 : x
  2. Step 2: Convert to fraction form
    256,238.94/353,604.34 = 141,510.90/x
  3. Step 3: Cross multiply
    256,238.94x = 353,604.34 × 141,510.90
  4. Step 4: Simplify right side
    256,238.94x = 50,038,867,115.19
  5. Step 5: Solve for x
    x = 50,038,867,115.19/256,238.94
  6. Step 6: Final answer
    x = 195,282.05

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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.