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Finding the Fourth Proportional to 201,658.70, 302,488.05 and 61,399.10

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Solution

The fourth proportional to 201,658.70, 302,488.05 and 61,399.10 is: 92,098.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,658.70 : 302,488.05 = 61,399.10 : x
  2. Step 2: Convert to fraction form
    201,658.70/302,488.05 = 61,399.10/x
  3. Step 3: Cross multiply
    201,658.70x = 302,488.05 × 61,399.10
  4. Step 4: Simplify right side
    201,658.70x = 18,572,494,030.76
  5. Step 5: Solve for x
    x = 18,572,494,030.76/201,658.70
  6. Step 6: Final answer
    x = 92,098.65

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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.