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Finding the Fourth Proportional to 235,466.91, 353,212.61 and 77,707.66

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Solution

The fourth proportional to 235,466.91, 353,212.61 and 77,707.66 is: 116,565.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,466.91 : 353,212.61 = 77,707.66 : x
  2. Step 2: Convert to fraction form
    235,466.91/353,212.61 = 77,707.66/x
  3. Step 3: Cross multiply
    235,466.91x = 353,212.61 × 77,707.66
  4. Step 4: Simplify right side
    235,466.91x = 27,447,325,405.59
  5. Step 5: Solve for x
    x = 27,447,325,405.59/235,466.91
  6. Step 6: Final answer
    x = 116,565.53

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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.