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Finding the Fourth Proportional to 111,977.60, 167,966.40 and 106,534.40

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Solution

The fourth proportional to 111,977.60, 167,966.40 and 106,534.40 is: 159,801.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,977.60 : 167,966.40 = 106,534.40 : x
  2. Step 2: Convert to fraction form
    111,977.60/167,966.40 = 106,534.40/x
  3. Step 3: Cross multiply
    111,977.60x = 167,966.40 × 106,534.40
  4. Step 4: Simplify right side
    111,977.60x = 17,894,199,644.16
  5. Step 5: Solve for x
    x = 17,894,199,644.16/111,977.60
  6. Step 6: Final answer
    x = 159,801.60

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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.