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Finding the Fourth Proportional to 256,301.66, 353,625.28 and 147,400.07

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Solution

The fourth proportional to 256,301.66, 353,625.28 and 147,400.07 is: 203,371.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,301.66 : 353,625.28 = 147,400.07 : x
  2. Step 2: Convert to fraction form
    256,301.66/353,625.28 = 147,400.07/x
  3. Step 3: Cross multiply
    256,301.66x = 353,625.28 × 147,400.07
  4. Step 4: Simplify right side
    256,301.66x = 52,124,388,889.14
  5. Step 5: Solve for x
    x = 52,124,388,889.14/256,301.66
  6. Step 6: Final answer
    x = 203,371.25

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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.