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Finding the Fourth Proportional to 256,100.36, 353,384.34 and 148,669.16

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Solution

The fourth proportional to 256,100.36, 353,384.34 and 148,669.16 is: 205,143.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,100.36 : 353,384.34 = 148,669.16 : x
  2. Step 2: Convert to fraction form
    256,100.36/353,384.34 = 148,669.16/x
  3. Step 3: Cross multiply
    256,100.36x = 353,384.34 × 148,669.16
  4. Step 4: Simplify right side
    256,100.36x = 52,537,352,984.95
  5. Step 5: Solve for x
    x = 52,537,352,984.95/256,100.36
  6. Step 6: Final answer
    x = 205,143.61

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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.