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Finding the Fourth Proportional to 256,314.48, 353,719.32 and 141,592.80

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Solution

The fourth proportional to 256,314.48, 353,719.32 and 141,592.80 is: 195,401.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,314.48 : 353,719.32 = 141,592.80 : x
  2. Step 2: Convert to fraction form
    256,314.48/353,719.32 = 141,592.80/x
  3. Step 3: Cross multiply
    256,314.48x = 353,719.32 × 141,592.80
  4. Step 4: Simplify right side
    256,314.48x = 50,084,108,932.90
  5. Step 5: Solve for x
    x = 50,084,108,932.90/256,314.48
  6. Step 6: Final answer
    x = 195,401.01

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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.