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Finding the Fourth Proportional to 186,586.32, 257,496.06 and 106,027.50

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Solution

The fourth proportional to 186,586.32, 257,496.06 and 106,027.50 is: 146,321.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,586.32 : 257,496.06 = 106,027.50 : x
  2. Step 2: Convert to fraction form
    186,586.32/257,496.06 = 106,027.50/x
  3. Step 3: Cross multiply
    186,586.32x = 257,496.06 × 106,027.50
  4. Step 4: Simplify right side
    186,586.32x = 27,301,663,501.65
  5. Step 5: Solve for x
    x = 27,301,663,501.65/186,586.32
  6. Step 6: Final answer
    x = 146,321.89

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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.