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Finding the Fourth Proportional to 201,849.40, 302,774.10 and 61,607.80

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Solution

The fourth proportional to 201,849.40, 302,774.10 and 61,607.80 is: 92,411.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,849.40 : 302,774.10 = 61,607.80 : x
  2. Step 2: Convert to fraction form
    201,849.40/302,774.10 = 61,607.80/x
  3. Step 3: Cross multiply
    201,849.40x = 302,774.10 × 61,607.80
  4. Step 4: Simplify right side
    201,849.40x = 18,653,246,197.98
  5. Step 5: Solve for x
    x = 18,653,246,197.98/201,849.40
  6. Step 6: Final answer
    x = 92,411.70

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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.