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Finding the Fourth Proportional to 102,419.58, 153,393.33 and 98,873.43

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Solution

The fourth proportional to 102,419.58, 153,393.33 and 98,873.43 is: 148,082.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,419.58 : 153,393.33 = 98,873.43 : x
  2. Step 2: Convert to fraction form
    102,419.58/153,393.33 = 98,873.43/x
  3. Step 3: Cross multiply
    102,419.58x = 153,393.33 × 98,873.43
  4. Step 4: Simplify right side
    102,419.58x = 15,166,524,676.22
  5. Step 5: Solve for x
    x = 15,166,524,676.22/102,419.58
  6. Step 6: Final answer
    x = 148,082.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.