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Finding the Fourth Proportional to 164,898.75, 247,335.71 and 52,574.43

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Solution

The fourth proportional to 164,898.75, 247,335.71 and 52,574.43 is: 78,857.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,898.75 : 247,335.71 = 52,574.43 : x
  2. Step 2: Convert to fraction form
    164,898.75/247,335.71 = 52,574.43/x
  3. Step 3: Cross multiply
    164,898.75x = 247,335.71 × 52,574.43
  4. Step 4: Simplify right side
    164,898.75x = 13,003,533,709.02
  5. Step 5: Solve for x
    x = 13,003,533,709.02/164,898.75
  6. Step 6: Final answer
    x = 78,857.69

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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.