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Finding the Fourth Proportional to 186,903.67, 257,927 and 102,020.74

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Solution

The fourth proportional to 186,903.67, 257,927 and 102,020.74 is: 140,788.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,903.67 : 257,927 = 102,020.74 : x
  2. Step 2: Convert to fraction form
    186,903.67/257,927 = 102,020.74/x
  3. Step 3: Cross multiply
    186,903.67x = 257,927 × 102,020.74
  4. Step 4: Simplify right side
    186,903.67x = 26,313,903,405.98
  5. Step 5: Solve for x
    x = 26,313,903,405.98/186,903.67
  6. Step 6: Final answer
    x = 140,788.59

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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.