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Finding the Fourth Proportional to 115,952.38, 159,985.47 and 73,495.42

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Solution

The fourth proportional to 115,952.38, 159,985.47 and 73,495.42 is: 101,405.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,952.38 : 159,985.47 = 73,495.42 : x
  2. Step 2: Convert to fraction form
    115,952.38/159,985.47 = 73,495.42/x
  3. Step 3: Cross multiply
    115,952.38x = 159,985.47 × 73,495.42
  4. Step 4: Simplify right side
    115,952.38x = 11,758,199,311.55
  5. Step 5: Solve for x
    x = 11,758,199,311.55/115,952.38
  6. Step 6: Final answer
    x = 101,405.42

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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.