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Finding the Fourth Proportional to 235,604, 353,519.40 and 117,285.68

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Solution

The fourth proportional to 235,604, 353,519.40 and 117,285.68 is: 175,984.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,604 : 353,519.40 = 117,285.68 : x
  2. Step 2: Convert to fraction form
    235,604/353,519.40 = 117,285.68/x
  3. Step 3: Cross multiply
    235,604x = 353,519.40 × 117,285.68
  4. Step 4: Simplify right side
    235,604x = 41,462,763,222.19
  5. Step 5: Solve for x
    x = 41,462,763,222.19/235,604
  6. Step 6: Final answer
    x = 175,984.97

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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.