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Finding the Fourth Proportional to 256,368.24, 353,786.16 and 149,001.12

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Solution

The fourth proportional to 256,368.24, 353,786.16 and 149,001.12 is: 205,620.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,368.24 : 353,786.16 = 149,001.12 : x
  2. Step 2: Convert to fraction form
    256,368.24/353,786.16 = 149,001.12/x
  3. Step 3: Cross multiply
    256,368.24x = 353,786.16 × 149,001.12
  4. Step 4: Simplify right side
    256,368.24x = 52,714,534,080.50
  5. Step 5: Solve for x
    x = 52,714,534,080.50/256,368.24
  6. Step 6: Final answer
    x = 205,620.38

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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.