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Finding the Fourth Proportional to 186,543.76, 257,430 and 101,660.62

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Solution

The fourth proportional to 186,543.76, 257,430 and 101,660.62 is: 140,291.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,543.76 : 257,430 = 101,660.62 : x
  2. Step 2: Convert to fraction form
    186,543.76/257,430 = 101,660.62/x
  3. Step 3: Cross multiply
    186,543.76x = 257,430 × 101,660.62
  4. Step 4: Simplify right side
    186,543.76x = 26,170,493,406.60
  5. Step 5: Solve for x
    x = 26,170,493,406.60/186,543.76
  6. Step 6: Final answer
    x = 140,291.44

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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.