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Finding the Fourth Proportional to 147,105.50, 202,988.84 and 82,565.98

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Solution

The fourth proportional to 147,105.50, 202,988.84 and 82,565.98 is: 113,931.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,105.50 : 202,988.84 = 82,565.98 : x
  2. Step 2: Convert to fraction form
    147,105.50/202,988.84 = 82,565.98/x
  3. Step 3: Cross multiply
    147,105.50x = 202,988.84 × 82,565.98
  4. Step 4: Simplify right side
    147,105.50x = 16,759,971,583.36
  5. Step 5: Solve for x
    x = 16,759,971,583.36/147,105.50
  6. Step 6: Final answer
    x = 113,931.65

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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.