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Finding the Fourth Proportional to 142,356.57, 196,460.54 and 81,925.89

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Solution

The fourth proportional to 142,356.57, 196,460.54 and 81,925.89 is: 113,062.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,356.57 : 196,460.54 = 81,925.89 : x
  2. Step 2: Convert to fraction form
    142,356.57/196,460.54 = 81,925.89/x
  3. Step 3: Cross multiply
    142,356.57x = 196,460.54 × 81,925.89
  4. Step 4: Simplify right side
    142,356.57x = 16,095,204,589.38
  5. Step 5: Solve for x
    x = 16,095,204,589.38/142,356.57
  6. Step 6: Final answer
    x = 113,062.60

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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.