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Finding the Fourth Proportional to 256,446.81, 353,894.67 and 141,733.19

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Solution

The fourth proportional to 256,446.81, 353,894.67 and 141,733.19 is: 195,590.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,446.81 : 353,894.67 = 141,733.19 : x
  2. Step 2: Convert to fraction form
    256,446.81/353,894.67 = 141,733.19/x
  3. Step 3: Cross multiply
    256,446.81x = 353,894.67 × 141,733.19
  4. Step 4: Simplify right side
    256,446.81x = 50,158,621,387.83
  5. Step 5: Solve for x
    x = 50,158,621,387.83/256,446.81
  6. Step 6: Final answer
    x = 195,590.74

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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.