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Finding the Fourth Proportional to 164,402.79, 226,851.53 and 99,838.46

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Solution

The fourth proportional to 164,402.79, 226,851.53 and 99,838.46 is: 137,762.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,402.79 : 226,851.53 = 99,838.46 : x
  2. Step 2: Convert to fraction form
    164,402.79/226,851.53 = 99,838.46/x
  3. Step 3: Cross multiply
    164,402.79x = 226,851.53 × 99,838.46
  4. Step 4: Simplify right side
    164,402.79x = 22,648,505,770.39
  5. Step 5: Solve for x
    x = 22,648,505,770.39/164,402.79
  6. Step 6: Final answer
    x = 137,762.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.