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Finding the Fourth Proportional to 256,174.65, 353,493.74 and 148,724.60

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Solution

The fourth proportional to 256,174.65, 353,493.74 and 148,724.60 is: 205,224.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,174.65 : 353,493.74 = 148,724.60 : x
  2. Step 2: Convert to fraction form
    256,174.65/353,493.74 = 148,724.60/x
  3. Step 3: Cross multiply
    256,174.65x = 353,493.74 × 148,724.60
  4. Step 4: Simplify right side
    256,174.65x = 52,573,213,688.35
  5. Step 5: Solve for x
    x = 52,573,213,688.35/256,174.65
  6. Step 6: Final answer
    x = 205,224.11

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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.