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Finding the Fourth Proportional to 233,981.98, 322,894.16 and 126,551.76

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Solution

The fourth proportional to 233,981.98, 322,894.16 and 126,551.76 is: 174,640.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,981.98 : 322,894.16 = 126,551.76 : x
  2. Step 2: Convert to fraction form
    233,981.98/322,894.16 = 126,551.76/x
  3. Step 3: Cross multiply
    233,981.98x = 322,894.16 × 126,551.76
  4. Step 4: Simplify right side
    233,981.98x = 40,862,824,241.72
  5. Step 5: Solve for x
    x = 40,862,824,241.72/233,981.98
  6. Step 6: Final answer
    x = 174,640.90

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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.