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Finding the Fourth Proportional to 109,904.70, 164,857.05 and 103,343.70

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Solution

The fourth proportional to 109,904.70, 164,857.05 and 103,343.70 is: 155,015.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,904.70 : 164,857.05 = 103,343.70 : x
  2. Step 2: Convert to fraction form
    109,904.70/164,857.05 = 103,343.70/x
  3. Step 3: Cross multiply
    109,904.70x = 164,857.05 × 103,343.70
  4. Step 4: Simplify right side
    109,904.70x = 17,036,937,518.09
  5. Step 5: Solve for x
    x = 17,036,937,518.09/109,904.70
  6. Step 6: Final answer
    x = 155,015.55

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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.