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Finding the Fourth Proportional to 201,353.80, 302,261.10 and 118,294.60

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Solution

The fourth proportional to 201,353.80, 302,261.10 and 118,294.60 is: 177,577.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,353.80 : 302,261.10 = 118,294.60 : x
  2. Step 2: Convert to fraction form
    201,353.80/302,261.10 = 118,294.60/x
  3. Step 3: Cross multiply
    201,353.80x = 302,261.10 × 118,294.60
  4. Step 4: Simplify right side
    201,353.80x = 35,755,855,920.06
  5. Step 5: Solve for x
    x = 35,755,855,920.06/201,353.80
  6. Step 6: Final answer
    x = 177,577.26

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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.