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Finding the Fourth Proportional to 256,412.91, 353,847.88 and 141,699.29

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Solution

The fourth proportional to 256,412.91, 353,847.88 and 141,699.29 is: 195,543.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,412.91 : 353,847.88 = 141,699.29 : x
  2. Step 2: Convert to fraction form
    256,412.91/353,847.88 = 141,699.29/x
  3. Step 3: Cross multiply
    256,412.91x = 353,847.88 × 141,699.29
  4. Step 4: Simplify right side
    256,412.91x = 50,139,993,364.01
  5. Step 5: Solve for x
    x = 50,139,993,364.01/256,412.91
  6. Step 6: Final answer
    x = 195,543.95

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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.