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Finding the Fourth Proportional to 106,928.64, 147,564.60 and 59,186.43

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Solution

The fourth proportional to 106,928.64, 147,564.60 and 59,186.43 is: 81,678.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,928.64 : 147,564.60 = 59,186.43 : x
  2. Step 2: Convert to fraction form
    106,928.64/147,564.60 = 59,186.43/x
  3. Step 3: Cross multiply
    106,928.64x = 147,564.60 × 59,186.43
  4. Step 4: Simplify right side
    106,928.64x = 8,733,821,868.38
  5. Step 5: Solve for x
    x = 8,733,821,868.38/106,928.64
  6. Step 6: Final answer
    x = 81,678.98

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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.