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Finding the Fourth Proportional to 186,829.67, 257,823.45 and 106,257.08

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Solution

The fourth proportional to 186,829.67, 257,823.45 and 106,257.08 is: 146,633.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,829.67 : 257,823.45 = 106,257.08 : x
  2. Step 2: Convert to fraction form
    186,829.67/257,823.45 = 106,257.08/x
  3. Step 3: Cross multiply
    186,829.67x = 257,823.45 × 106,257.08
  4. Step 4: Simplify right side
    186,829.67x = 27,395,565,663.41
  5. Step 5: Solve for x
    x = 27,395,565,663.41/186,829.67
  6. Step 6: Final answer
    x = 146,633.92

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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.