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Finding the Fourth Proportional to 256,114.92, 353,396.34 and 142,937.40

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Solution

The fourth proportional to 256,114.92, 353,396.34 and 142,937.40 is: 197,230.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,114.92 : 353,396.34 = 142,937.40 : x
  2. Step 2: Convert to fraction form
    256,114.92/353,396.34 = 142,937.40/x
  3. Step 3: Cross multiply
    256,114.92x = 353,396.34 × 142,937.40
  4. Step 4: Simplify right side
    256,114.92x = 50,513,554,009.12
  5. Step 5: Solve for x
    x = 50,513,554,009.12/256,114.92
  6. Step 6: Final answer
    x = 197,230.03

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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.