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Finding the Fourth Proportional to 235,763.93, 353,646 and 77,992.38

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Solution

The fourth proportional to 235,763.93, 353,646 and 77,992.38 is: 116,988.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,763.93 : 353,646 = 77,992.38 : x
  2. Step 2: Convert to fraction form
    235,763.93/353,646 = 77,992.38/x
  3. Step 3: Cross multiply
    235,763.93x = 353,646 × 77,992.38
  4. Step 4: Simplify right side
    235,763.93x = 27,581,692,333.37
  5. Step 5: Solve for x
    x = 27,581,692,333.37/235,763.93
  6. Step 6: Final answer
    x = 116,988.60

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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.