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Finding the Fourth Proportional to 164,534.40, 246,801.60 and 81,417.60

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Solution

The fourth proportional to 164,534.40, 246,801.60 and 81,417.60 is: 122,126.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,534.40 : 246,801.60 = 81,417.60 : x
  2. Step 2: Convert to fraction form
    164,534.40/246,801.60 = 81,417.60/x
  3. Step 3: Cross multiply
    164,534.40x = 246,801.60 × 81,417.60
  4. Step 4: Simplify right side
    164,534.40x = 20,093,993,948.16
  5. Step 5: Solve for x
    x = 20,093,993,948.16/164,534.40
  6. Step 6: Final answer
    x = 122,126.40

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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.