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Finding the Fourth Proportional to 186,489.60, 257,358.60 and 101,606.64

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Solution

The fourth proportional to 186,489.60, 257,358.60 and 101,606.64 is: 140,218.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,489.60 : 257,358.60 = 101,606.64 : x
  2. Step 2: Convert to fraction form
    186,489.60/257,358.60 = 101,606.64/x
  3. Step 3: Cross multiply
    186,489.60x = 257,358.60 × 101,606.64
  4. Step 4: Simplify right side
    186,489.60x = 26,149,342,621.10
  5. Step 5: Solve for x
    x = 26,149,342,621.10/186,489.60
  6. Step 6: Final answer
    x = 140,218.77

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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.