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Finding the Fourth Proportional to 256,601.50, 354,095.80 and 141,873.48

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Solution

The fourth proportional to 256,601.50, 354,095.80 and 141,873.48 is: 195,777.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,601.50 : 354,095.80 = 141,873.48 : x
  2. Step 2: Convert to fraction form
    256,601.50/354,095.80 = 141,873.48/x
  3. Step 3: Cross multiply
    256,601.50x = 354,095.80 × 141,873.48
  4. Step 4: Simplify right side
    256,601.50x = 50,236,803,399.38
  5. Step 5: Solve for x
    x = 50,236,803,399.38/256,601.50
  6. Step 6: Final answer
    x = 195,777.51

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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.