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Finding the Fourth Proportional to 256,128.81, 353,505.43 and 147,296.87

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Solution

The fourth proportional to 256,128.81, 353,505.43 and 147,296.87 is: 203,297.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,128.81 : 353,505.43 = 147,296.87 : x
  2. Step 2: Convert to fraction form
    256,128.81/353,505.43 = 147,296.87/x
  3. Step 3: Cross multiply
    256,128.81x = 353,505.43 × 147,296.87
  4. Step 4: Simplify right side
    256,128.81x = 52,070,243,367.00
  5. Step 5: Solve for x
    x = 52,070,243,367.00/256,128.81
  6. Step 6: Final answer
    x = 203,297.10

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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.