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Finding the Fourth Proportional to 189,754.34, 261,829.40 and 113,304.29

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Solution

The fourth proportional to 189,754.34, 261,829.40 and 113,304.29 is: 156,341.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,754.34 : 261,829.40 = 113,304.29 : x
  2. Step 2: Convert to fraction form
    189,754.34/261,829.40 = 113,304.29/x
  3. Step 3: Cross multiply
    189,754.34x = 261,829.40 × 113,304.29
  4. Step 4: Simplify right side
    189,754.34x = 29,666,392,392.46
  5. Step 5: Solve for x
    x = 29,666,392,392.46/189,754.34
  6. Step 6: Final answer
    x = 156,341.05

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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.