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Finding the Fourth Proportional to 142,436.57, 196,554.47 and 77,892.98

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Solution

The fourth proportional to 142,436.57, 196,554.47 and 77,892.98 is: 107,487.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,436.57 : 196,554.47 = 77,892.98 : x
  2. Step 2: Convert to fraction form
    142,436.57/196,554.47 = 77,892.98/x
  3. Step 3: Cross multiply
    142,436.57x = 196,554.47 × 77,892.98
  4. Step 4: Simplify right side
    142,436.57x = 15,310,212,028.38
  5. Step 5: Solve for x
    x = 15,310,212,028.38/142,436.57
  6. Step 6: Final answer
    x = 107,487.93

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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.