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Finding the Fourth Proportional to 164,043.84, 245,874.60 and 75,306.72

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Solution

The fourth proportional to 164,043.84, 245,874.60 and 75,306.72 is: 112,872.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,043.84 : 245,874.60 = 75,306.72 : x
  2. Step 2: Convert to fraction form
    164,043.84/245,874.60 = 75,306.72/x
  3. Step 3: Cross multiply
    164,043.84x = 245,874.60 × 75,306.72
  4. Step 4: Simplify right side
    164,043.84x = 18,516,009,657.31
  5. Step 5: Solve for x
    x = 18,516,009,657.31/164,043.84
  6. Step 6: Final answer
    x = 112,872.33

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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.