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Finding the Fourth Proportional to 154,537, 213,261.06 and 83,881

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Solution

The fourth proportional to 154,537, 213,261.06 and 83,881 is: 115,755.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,537 : 213,261.06 = 83,881 : x
  2. Step 2: Convert to fraction form
    154,537/213,261.06 = 83,881/x
  3. Step 3: Cross multiply
    154,537x = 213,261.06 × 83,881
  4. Step 4: Simplify right side
    154,537x = 17,888,550,973.86
  5. Step 5: Solve for x
    x = 17,888,550,973.86/154,537
  6. Step 6: Final answer
    x = 115,755.78

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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.