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Finding the Fourth Proportional to 186,729.84, 257,686.00 and 106,157.39

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Solution

The fourth proportional to 186,729.84, 257,686.00 and 106,157.39 is: 146,496.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,729.84 : 257,686.00 = 106,157.39 : x
  2. Step 2: Convert to fraction form
    186,729.84/257,686.00 = 106,157.39/x
  3. Step 3: Cross multiply
    186,729.84x = 257,686.00 × 106,157.39
  4. Step 4: Simplify right side
    186,729.84x = 27,355,271,645.72
  5. Step 5: Solve for x
    x = 27,355,271,645.72/186,729.84
  6. Step 6: Final answer
    x = 146,496.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.