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Finding the Fourth Proportional to 201,646.06, 302,469.10 and 61,405.90

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Solution

The fourth proportional to 201,646.06, 302,469.10 and 61,405.90 is: 92,108.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,646.06 : 302,469.10 = 61,405.90 : x
  2. Step 2: Convert to fraction form
    201,646.06/302,469.10 = 61,405.90/x
  3. Step 3: Cross multiply
    201,646.06x = 302,469.10 × 61,405.90
  4. Step 4: Simplify right side
    201,646.06x = 18,573,387,307.69
  5. Step 5: Solve for x
    x = 18,573,387,307.69/201,646.06
  6. Step 6: Final answer
    x = 92,108.85

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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.