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Finding the Fourth Proportional to 116,197.53, 160,384.01 and 68,465.85

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Solution

The fourth proportional to 116,197.53, 160,384.01 and 68,465.85 is: 94,501.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,197.53 : 160,384.01 = 68,465.85 : x
  2. Step 2: Convert to fraction form
    116,197.53/160,384.01 = 68,465.85/x
  3. Step 3: Cross multiply
    116,197.53x = 160,384.01 × 68,465.85
  4. Step 4: Simplify right side
    116,197.53x = 10,980,827,571.06
  5. Step 5: Solve for x
    x = 10,980,827,571.06/116,197.53
  6. Step 6: Final answer
    x = 94,501.39

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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.