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Finding the Fourth Proportional to 137,031.30, 189,104.24 and 76,604.40

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Solution

The fourth proportional to 137,031.30, 189,104.24 and 76,604.40 is: 105,714.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,031.30 : 189,104.24 = 76,604.40 : x
  2. Step 2: Convert to fraction form
    137,031.30/189,104.24 = 76,604.40/x
  3. Step 3: Cross multiply
    137,031.30x = 189,104.24 × 76,604.40
  4. Step 4: Simplify right side
    137,031.30x = 14,486,216,459.63
  5. Step 5: Solve for x
    x = 14,486,216,459.63/137,031.30
  6. Step 6: Final answer
    x = 105,714.65

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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.