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Finding the Fourth Proportional to 186,906.61, 257,931.06 and 102,023.68

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Solution

The fourth proportional to 186,906.61, 257,931.06 and 102,023.68 is: 140,792.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,906.61 : 257,931.06 = 102,023.68 : x
  2. Step 2: Convert to fraction form
    186,906.61/257,931.06 = 102,023.68/x
  3. Step 3: Cross multiply
    186,906.61x = 257,931.06 × 102,023.68
  4. Step 4: Simplify right side
    186,906.61x = 26,315,074,945.22
  5. Step 5: Solve for x
    x = 26,315,074,945.22/186,906.61
  6. Step 6: Final answer
    x = 140,792.64

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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.