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Finding the Fourth Proportional to 256,510.54, 353,984.62 and 140,224.51

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Solution

The fourth proportional to 256,510.54, 353,984.62 and 140,224.51 is: 193,509.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,510.54 : 353,984.62 = 140,224.51 : x
  2. Step 2: Convert to fraction form
    256,510.54/353,984.62 = 140,224.51/x
  3. Step 3: Cross multiply
    256,510.54x = 353,984.62 × 140,224.51
  4. Step 4: Simplify right side
    256,510.54x = 49,637,320,772.00
  5. Step 5: Solve for x
    x = 49,637,320,772.00/256,510.54
  6. Step 6: Final answer
    x = 193,509.87

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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.