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Finding the Fourth Proportional to 256,490.74, 353,946.27 and 141,763.51

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Solution

The fourth proportional to 256,490.74, 353,946.27 and 141,763.51 is: 195,627.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,490.74 : 353,946.27 = 141,763.51 : x
  2. Step 2: Convert to fraction form
    256,490.74/353,946.27 = 141,763.51/x
  3. Step 3: Cross multiply
    256,490.74x = 353,946.27 × 141,763.51
  4. Step 4: Simplify right side
    256,490.74x = 50,176,665,586.61
  5. Step 5: Solve for x
    x = 50,176,665,586.61/256,490.74
  6. Step 6: Final answer
    x = 195,627.59

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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.