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Finding the Fourth Proportional to 109,874.40, 164,811.60 and 102,001.20

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Solution

The fourth proportional to 109,874.40, 164,811.60 and 102,001.20 is: 153,001.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,874.40 : 164,811.60 = 102,001.20 : x
  2. Step 2: Convert to fraction form
    109,874.40/164,811.60 = 102,001.20/x
  3. Step 3: Cross multiply
    109,874.40x = 164,811.60 × 102,001.20
  4. Step 4: Simplify right side
    109,874.40x = 16,810,980,973.92
  5. Step 5: Solve for x
    x = 16,810,980,973.92/109,874.40
  6. Step 6: Final answer
    x = 153,001.80

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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.