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Finding the Fourth Proportional to 186,818.96, 257,815.83 and 106,258.07

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Solution

The fourth proportional to 186,818.96, 257,815.83 and 106,258.07 is: 146,639.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,818.96 : 257,815.83 = 106,258.07 : x
  2. Step 2: Convert to fraction form
    186,818.96/257,815.83 = 106,258.07/x
  3. Step 3: Cross multiply
    186,818.96x = 257,815.83 × 106,258.07
  4. Step 4: Simplify right side
    186,818.96x = 27,395,011,222.17
  5. Step 5: Solve for x
    x = 27,395,011,222.17/186,818.96
  6. Step 6: Final answer
    x = 146,639.36

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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.