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Finding the Fourth Proportional to 256,321.50, 353,703.75 and 148,873.98

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Solution

The fourth proportional to 256,321.50, 353,703.75 and 148,873.98 is: 205,434.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,321.50 : 353,703.75 = 148,873.98 : x
  2. Step 2: Convert to fraction form
    256,321.50/353,703.75 = 148,873.98/x
  3. Step 3: Cross multiply
    256,321.50x = 353,703.75 × 148,873.98
  4. Step 4: Simplify right side
    256,321.50x = 52,657,285,003.43
  5. Step 5: Solve for x
    x = 52,657,285,003.43/256,321.50
  6. Step 6: Final answer
    x = 205,434.52

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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.