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Finding the Fourth Proportional to 209,801.80, 315,480.30 and 175,587.40

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Solution

The fourth proportional to 209,801.80, 315,480.30 and 175,587.40 is: 264,031.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,801.80 : 315,480.30 = 175,587.40 : x
  2. Step 2: Convert to fraction form
    209,801.80/315,480.30 = 175,587.40/x
  3. Step 3: Cross multiply
    209,801.80x = 315,480.30 × 175,587.40
  4. Step 4: Simplify right side
    209,801.80x = 55,394,365,628.22
  5. Step 5: Solve for x
    x = 55,394,365,628.22/209,801.80
  6. Step 6: Final answer
    x = 264,031.89

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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.