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Finding the Fourth Proportional to 256,568.56, 354,075.68 and 146,190.64

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Solution

The fourth proportional to 256,568.56, 354,075.68 and 146,190.64 is: 201,749.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,568.56 : 354,075.68 = 146,190.64 : x
  2. Step 2: Convert to fraction form
    256,568.56/354,075.68 = 146,190.64/x
  3. Step 3: Cross multiply
    256,568.56x = 354,075.68 × 146,190.64
  4. Step 4: Simplify right side
    256,568.56x = 51,762,550,267.64
  5. Step 5: Solve for x
    x = 51,762,550,267.64/256,568.56
  6. Step 6: Final answer
    x = 201,749.39

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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.