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Finding the Fourth Proportional to 106,577.94, 147,082.32 and 61,270.59

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Solution

The fourth proportional to 106,577.94, 147,082.32 and 61,270.59 is: 84,556.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,577.94 : 147,082.32 = 61,270.59 : x
  2. Step 2: Convert to fraction form
    106,577.94/147,082.32 = 61,270.59/x
  3. Step 3: Cross multiply
    106,577.94x = 147,082.32 × 61,270.59
  4. Step 4: Simplify right side
    106,577.94x = 9,011,820,524.97
  5. Step 5: Solve for x
    x = 9,011,820,524.97/106,577.94
  6. Step 6: Final answer
    x = 84,556.15

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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.