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Finding the Fourth Proportional to 235,495.62, 353,259.63 and 77,834.79

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Solution

The fourth proportional to 235,495.62, 353,259.63 and 77,834.79 is: 116,757.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,495.62 : 353,259.63 = 77,834.79 : x
  2. Step 2: Convert to fraction form
    235,495.62/353,259.63 = 77,834.79/x
  3. Step 3: Cross multiply
    235,495.62x = 353,259.63 × 77,834.79
  4. Step 4: Simplify right side
    235,495.62x = 27,495,889,116.53
  5. Step 5: Solve for x
    x = 27,495,889,116.53/235,495.62
  6. Step 6: Final answer
    x = 116,757.54

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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.