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Finding the Fourth Proportional to 186,419.07, 257,258.34 and 101,536.20

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Solution

The fourth proportional to 186,419.07, 257,258.34 and 101,536.20 is: 140,119.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,419.07 : 257,258.34 = 101,536.20 : x
  2. Step 2: Convert to fraction form
    186,419.07/257,258.34 = 101,536.20/x
  3. Step 3: Cross multiply
    186,419.07x = 257,258.34 × 101,536.20
  4. Step 4: Simplify right side
    186,419.07x = 26,121,034,261.91
  5. Step 5: Solve for x
    x = 26,121,034,261.91/186,419.07
  6. Step 6: Final answer
    x = 140,119.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.