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Finding the Fourth Proportional to 186,892.34, 257,887.31 and 105,210.28

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Solution

The fourth proportional to 186,892.34, 257,887.31 and 105,210.28 is: 145,176.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,892.34 : 257,887.31 = 105,210.28 : x
  2. Step 2: Convert to fraction form
    186,892.34/257,887.31 = 105,210.28/x
  3. Step 3: Cross multiply
    186,892.34x = 257,887.31 × 105,210.28
  4. Step 4: Simplify right side
    186,892.34x = 27,132,395,711.85
  5. Step 5: Solve for x
    x = 27,132,395,711.85/186,892.34
  6. Step 6: Final answer
    x = 145,176.61

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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.