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Finding the Fourth Proportional to 186,764.50, 257,735.01 and 101,881.90

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Solution

The fourth proportional to 186,764.50, 257,735.01 and 101,881.90 is: 140,597.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,764.50 : 257,735.01 = 101,881.90 : x
  2. Step 2: Convert to fraction form
    186,764.50/257,735.01 = 101,881.90/x
  3. Step 3: Cross multiply
    186,764.50x = 257,735.01 × 101,881.90
  4. Step 4: Simplify right side
    186,764.50x = 26,258,532,515.32
  5. Step 5: Solve for x
    x = 26,258,532,515.32/186,764.50
  6. Step 6: Final answer
    x = 140,597.02

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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.