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Finding the Fourth Proportional to 116,537, 160,821.24 and 66,236

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Solution

The fourth proportional to 116,537, 160,821.24 and 66,236 is: 91,405.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,537 : 160,821.24 = 66,236 : x
  2. Step 2: Convert to fraction form
    116,537/160,821.24 = 66,236/x
  3. Step 3: Cross multiply
    116,537x = 160,821.24 × 66,236
  4. Step 4: Simplify right side
    116,537x = 10,652,155,652.64
  5. Step 5: Solve for x
    x = 10,652,155,652.64/116,537
  6. Step 6: Final answer
    x = 91,405.78

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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.