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Finding the Fourth Proportional to 256,506.09, 353,942.22 and 146,127.63

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Solution

The fourth proportional to 256,506.09, 353,942.22 and 146,127.63 is: 201,635.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,506.09 : 353,942.22 = 146,127.63 : x
  2. Step 2: Convert to fraction form
    256,506.09/353,942.22 = 146,127.63/x
  3. Step 3: Cross multiply
    256,506.09x = 353,942.22 × 146,127.63
  4. Step 4: Simplify right side
    256,506.09x = 51,720,738,526.59
  5. Step 5: Solve for x
    x = 51,720,738,526.59/256,506.09
  6. Step 6: Final answer
    x = 201,635.52

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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.