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Finding the Fourth Proportional to 186,607.89, 257,531.27 and 106,035.57

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Solution

The fourth proportional to 186,607.89, 257,531.27 and 106,035.57 is: 146,336.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,607.89 : 257,531.27 = 106,035.57 : x
  2. Step 2: Convert to fraction form
    186,607.89/257,531.27 = 106,035.57/x
  3. Step 3: Cross multiply
    186,607.89x = 257,531.27 × 106,035.57
  4. Step 4: Simplify right side
    186,607.89x = 27,307,474,477.10
  5. Step 5: Solve for x
    x = 27,307,474,477.10/186,607.89
  6. Step 6: Final answer
    x = 146,336.12

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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.