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Finding the Fourth Proportional to 186,586.17, 257,483.39 and 106,021.05

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Solution

The fourth proportional to 186,586.17, 257,483.39 and 106,021.05 is: 146,305.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,586.17 : 257,483.39 = 106,021.05 : x
  2. Step 2: Convert to fraction form
    186,586.17/257,483.39 = 106,021.05/x
  3. Step 3: Cross multiply
    186,586.17x = 257,483.39 × 106,021.05
  4. Step 4: Simplify right side
    186,586.17x = 27,298,658,835.25
  5. Step 5: Solve for x
    x = 27,298,658,835.25/186,586.17
  6. Step 6: Final answer
    x = 146,305.91

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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.