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Finding the Fourth Proportional to 186,837.04, 257,835.84 and 101,956

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Solution

The fourth proportional to 186,837.04, 257,835.84 and 101,956 is: 140,699.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,837.04 : 257,835.84 = 101,956 : x
  2. Step 2: Convert to fraction form
    186,837.04/257,835.84 = 101,956/x
  3. Step 3: Cross multiply
    186,837.04x = 257,835.84 × 101,956
  4. Step 4: Simplify right side
    186,837.04x = 26,287,910,903.04
  5. Step 5: Solve for x
    x = 26,287,910,903.04/186,837.04
  6. Step 6: Final answer
    x = 140,699.68

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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.