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Finding the Fourth Proportional to 186,311.13, 257,109.96 and 101,428.80

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Solution

The fourth proportional to 186,311.13, 257,109.96 and 101,428.80 is: 139,972.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,311.13 : 257,109.96 = 101,428.80 : x
  2. Step 2: Convert to fraction form
    186,311.13/257,109.96 = 101,428.80/x
  3. Step 3: Cross multiply
    186,311.13x = 257,109.96 × 101,428.80
  4. Step 4: Simplify right side
    186,311.13x = 26,078,354,710.85
  5. Step 5: Solve for x
    x = 26,078,354,710.85/186,311.13
  6. Step 6: Final answer
    x = 139,972.07

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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.