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Finding the Fourth Proportional to 186,898.03, 257,919.60 and 102,015.16

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Solution

The fourth proportional to 186,898.03, 257,919.60 and 102,015.16 is: 140,781.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,898.03 : 257,919.60 = 102,015.16 : x
  2. Step 2: Convert to fraction form
    186,898.03/257,919.60 = 102,015.16/x
  3. Step 3: Cross multiply
    186,898.03x = 257,919.60 × 102,015.16
  4. Step 4: Simplify right side
    186,898.03x = 26,311,709,261.14
  5. Step 5: Solve for x
    x = 26,311,709,261.14/186,898.03
  6. Step 6: Final answer
    x = 140,781.09

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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.