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Finding the Fourth Proportional to 256,095.47, 353,431.31 and 141,396.20

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Solution

The fourth proportional to 256,095.47, 353,431.31 and 141,396.20 is: 195,137.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,095.47 : 353,431.31 = 141,396.20 : x
  2. Step 2: Convert to fraction form
    256,095.47/353,431.31 = 141,396.20/x
  3. Step 3: Cross multiply
    256,095.47x = 353,431.31 × 141,396.20
  4. Step 4: Simplify right side
    256,095.47x = 49,973,844,195.02
  5. Step 5: Solve for x
    x = 49,973,844,195.02/256,095.47
  6. Step 6: Final answer
    x = 195,137.56

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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.