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Finding the Fourth Proportional to 256,302.44, 353,682.72 and 153,053.14

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Solution

The fourth proportional to 256,302.44, 353,682.72 and 153,053.14 is: 211,204.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,302.44 : 353,682.72 = 153,053.14 : x
  2. Step 2: Convert to fraction form
    256,302.44/353,682.72 = 153,053.14/x
  3. Step 3: Cross multiply
    256,302.44x = 353,682.72 × 153,053.14
  4. Step 4: Simplify right side
    256,302.44x = 54,132,250,859.74
  5. Step 5: Solve for x
    x = 54,132,250,859.74/256,302.44
  6. Step 6: Final answer
    x = 211,204.59

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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.