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Finding the Fourth Proportional to 259,018.96, 357,440.77 and 144,297.44

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Solution

The fourth proportional to 259,018.96, 357,440.77 and 144,297.44 is: 199,127.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,018.96 : 357,440.77 = 144,297.44 : x
  2. Step 2: Convert to fraction form
    259,018.96/357,440.77 = 144,297.44/x
  3. Step 3: Cross multiply
    259,018.96x = 357,440.77 × 144,297.44
  4. Step 4: Simplify right side
    259,018.96x = 51,577,788,062.63
  5. Step 5: Solve for x
    x = 51,577,788,062.63/259,018.96
  6. Step 6: Final answer
    x = 199,127.46

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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.