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Finding the Fourth Proportional to 258,026.16, 356,110.16 and 144,848.92

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Solution

The fourth proportional to 258,026.16, 356,110.16 and 144,848.92 is: 199,910.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,026.16 : 356,110.16 = 144,848.92 : x
  2. Step 2: Convert to fraction form
    258,026.16/356,110.16 = 144,848.92/x
  3. Step 3: Cross multiply
    258,026.16x = 356,110.16 × 144,848.92
  4. Step 4: Simplify right side
    258,026.16x = 51,582,172,077.03
  5. Step 5: Solve for x
    x = 51,582,172,077.03/258,026.16
  6. Step 6: Final answer
    x = 199,910.63

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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.