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Finding the Fourth Proportional to 113,770.30, 156,935.37 and 73,507.80

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Solution

The fourth proportional to 113,770.30, 156,935.37 and 73,507.80 is: 101,397.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,770.30 : 156,935.37 = 73,507.80 : x
  2. Step 2: Convert to fraction form
    113,770.30/156,935.37 = 73,507.80/x
  3. Step 3: Cross multiply
    113,770.30x = 156,935.37 × 73,507.80
  4. Step 4: Simplify right side
    113,770.30x = 11,535,973,031.01
  5. Step 5: Solve for x
    x = 11,535,973,031.01/113,770.30
  6. Step 6: Final answer
    x = 101,397.05

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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.