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Finding the Fourth Proportional to 164,965.64, 247,428.12 and 70,233.92

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Solution

The fourth proportional to 164,965.64, 247,428.12 and 70,233.92 is: 105,342.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,965.64 : 247,428.12 = 70,233.92 : x
  2. Step 2: Convert to fraction form
    164,965.64/247,428.12 = 70,233.92/x
  3. Step 3: Cross multiply
    164,965.64x = 247,428.12 × 70,233.92
  4. Step 4: Simplify right side
    164,965.64x = 17,377,846,785.83
  5. Step 5: Solve for x
    x = 17,377,846,785.83/164,965.64
  6. Step 6: Final answer
    x = 105,342.22

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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.