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Finding the Fourth Proportional to 258,476.83, 356,645.29 and 151,026.08

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Solution

The fourth proportional to 258,476.83, 356,645.29 and 151,026.08 is: 208,385.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,476.83 : 356,645.29 = 151,026.08 : x
  2. Step 2: Convert to fraction form
    258,476.83/356,645.29 = 151,026.08/x
  3. Step 3: Cross multiply
    258,476.83x = 356,645.29 × 151,026.08
  4. Step 4: Simplify right side
    258,476.83x = 53,862,738,315.94
  5. Step 5: Solve for x
    x = 53,862,738,315.94/258,476.83
  6. Step 6: Final answer
    x = 208,385.17

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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.