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Finding the Fourth Proportional to 164,228.76, 246,343.14 and 39,569.76

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Solution

The fourth proportional to 164,228.76, 246,343.14 and 39,569.76 is: 59,354.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,228.76 : 246,343.14 = 39,569.76 : x
  2. Step 2: Convert to fraction form
    164,228.76/246,343.14 = 39,569.76/x
  3. Step 3: Cross multiply
    164,228.76x = 246,343.14 × 39,569.76
  4. Step 4: Simplify right side
    164,228.76x = 9,747,738,927.45
  5. Step 5: Solve for x
    x = 9,747,738,927.45/164,228.76
  6. Step 6: Final answer
    x = 59,354.64

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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.