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Finding the Fourth Proportional to 256,146.75, 353,486.16 and 142,969.50

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Solution

The fourth proportional to 256,146.75, 353,486.16 and 142,969.50 is: 197,299.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,146.75 : 353,486.16 = 142,969.50 : x
  2. Step 2: Convert to fraction form
    256,146.75/353,486.16 = 142,969.50/x
  3. Step 3: Cross multiply
    256,146.75x = 353,486.16 × 142,969.50
  4. Step 4: Simplify right side
    256,146.75x = 50,537,739,552.12
  5. Step 5: Solve for x
    x = 50,537,739,552.12/256,146.75
  6. Step 6: Final answer
    x = 197,299.94

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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.