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Finding the Fourth Proportional to 174,438, 261,696 and 63,630

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Solution

The fourth proportional to 174,438, 261,696 and 63,630 is: 95,459.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,438 : 261,696 = 63,630 : x
  2. Step 2: Convert to fraction form
    174,438/261,696 = 63,630/x
  3. Step 3: Cross multiply
    174,438x = 261,696 × 63,630
  4. Step 4: Simplify right side
    174,438x = 16,651,716,480
  5. Step 5: Solve for x
    x = 16,651,716,480/174,438
  6. Step 6: Final answer
    x = 95,459.23

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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.