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Finding the Fourth Proportional to 256,076.94, 353,384.16 and 148,656.96

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Solution

The fourth proportional to 256,076.94, 353,384.16 and 148,656.96 is: 205,145.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,076.94 : 353,384.16 = 148,656.96 : x
  2. Step 2: Convert to fraction form
    256,076.94/353,384.16 = 148,656.96/x
  3. Step 3: Cross multiply
    256,076.94x = 353,384.16 × 148,656.96
  4. Step 4: Simplify right side
    256,076.94x = 52,533,014,937.75
  5. Step 5: Solve for x
    x = 52,533,014,937.75/256,076.94
  6. Step 6: Final answer
    x = 205,145.43

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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.