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Finding the Fourth Proportional to 258,503.04, 356,797.44 and 157,985.28

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Solution

The fourth proportional to 258,503.04, 356,797.44 and 157,985.28 is: 218,058.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,503.04 : 356,797.44 = 157,985.28 : x
  2. Step 2: Convert to fraction form
    258,503.04/356,797.44 = 157,985.28/x
  3. Step 3: Cross multiply
    258,503.04x = 356,797.44 × 157,985.28
  4. Step 4: Simplify right side
    258,503.04x = 56,368,743,461.68
  5. Step 5: Solve for x
    x = 56,368,743,461.68/258,503.04
  6. Step 6: Final answer
    x = 218,058.34

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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.