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Finding the Fourth Proportional to 110,044.86, 151,954.95 and 69,829.98

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Solution

The fourth proportional to 110,044.86, 151,954.95 and 69,829.98 is: 96,424.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,044.86 : 151,954.95 = 69,829.98 : x
  2. Step 2: Convert to fraction form
    110,044.86/151,954.95 = 69,829.98/x
  3. Step 3: Cross multiply
    110,044.86x = 151,954.95 × 69,829.98
  4. Step 4: Simplify right side
    110,044.86x = 10,611,011,119.40
  5. Step 5: Solve for x
    x = 10,611,011,119.40/110,044.86
  6. Step 6: Final answer
    x = 96,424.41

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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.