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Finding the Fourth Proportional to 183,616.41, 253,392.53 and 101,946

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Solution

The fourth proportional to 183,616.41, 253,392.53 and 101,946 is: 140,686.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,616.41 : 253,392.53 = 101,946 : x
  2. Step 2: Convert to fraction form
    183,616.41/253,392.53 = 101,946/x
  3. Step 3: Cross multiply
    183,616.41x = 253,392.53 × 101,946
  4. Step 4: Simplify right side
    183,616.41x = 25,832,354,863.38
  5. Step 5: Solve for x
    x = 25,832,354,863.38/183,616.41
  6. Step 6: Final answer
    x = 140,686.53

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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.