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Finding the Fourth Proportional to 256,058.30, 353,307.70 and 147,141.59

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Solution

The fourth proportional to 256,058.30, 353,307.70 and 147,141.59 is: 203,025.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,058.30 : 353,307.70 = 147,141.59 : x
  2. Step 2: Convert to fraction form
    256,058.30/353,307.70 = 147,141.59/x
  3. Step 3: Cross multiply
    256,058.30x = 353,307.70 × 147,141.59
  4. Step 4: Simplify right side
    256,058.30x = 51,986,257,252.66
  5. Step 5: Solve for x
    x = 51,986,257,252.66/256,058.30
  6. Step 6: Final answer
    x = 203,025.09

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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.