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Finding the Fourth Proportional to 256,756.32, 354,333.36 and 143,578.80

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Solution

The fourth proportional to 256,756.32, 354,333.36 and 143,578.80 is: 198,144.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,756.32 : 354,333.36 = 143,578.80 : x
  2. Step 2: Convert to fraction form
    256,756.32/354,333.36 = 143,578.80/x
  3. Step 3: Cross multiply
    256,756.32x = 354,333.36 × 143,578.80
  4. Step 4: Simplify right side
    256,756.32x = 50,874,758,628.77
  5. Step 5: Solve for x
    x = 50,874,758,628.77/256,756.32
  6. Step 6: Final answer
    x = 198,144.13

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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.