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Finding the Fourth Proportional to 186,888, 257,905.68 and 119,820

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Solution

The fourth proportional to 186,888, 257,905.68 and 119,820 is: 165,351.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,888 : 257,905.68 = 119,820 : x
  2. Step 2: Convert to fraction form
    186,888/257,905.68 = 119,820/x
  3. Step 3: Cross multiply
    186,888x = 257,905.68 × 119,820
  4. Step 4: Simplify right side
    186,888x = 30,902,258,577.60
  5. Step 5: Solve for x
    x = 30,902,258,577.60/186,888
  6. Step 6: Final answer
    x = 165,351.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.