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Finding the Fourth Proportional to 476,109.98, 714,169.16 and 121,124.38

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Solution

The fourth proportional to 476,109.98, 714,169.16 and 121,124.38 is: 181,687.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,109.98 : 714,169.16 = 121,124.38 : x
  2. Step 2: Convert to fraction form
    476,109.98/714,169.16 = 121,124.38/x
  3. Step 3: Cross multiply
    476,109.98x = 714,169.16 × 121,124.38
  4. Step 4: Simplify right side
    476,109.98x = 86,503,296,720.12
  5. Step 5: Solve for x
    x = 86,503,296,720.12/476,109.98
  6. Step 6: Final answer
    x = 181,687.64

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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.