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Finding the Fourth Proportional to 109,802.79, 164,743.70 and 43,206.03

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Solution

The fourth proportional to 109,802.79, 164,743.70 and 43,206.03 is: 64,824.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,802.79 : 164,743.70 = 43,206.03 : x
  2. Step 2: Convert to fraction form
    109,802.79/164,743.70 = 43,206.03/x
  3. Step 3: Cross multiply
    109,802.79x = 164,743.70 × 43,206.03
  4. Step 4: Simplify right side
    109,802.79x = 7,117,921,028.48
  5. Step 5: Solve for x
    x = 7,117,921,028.48/109,802.79
  6. Step 6: Final answer
    x = 64,824.59

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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.