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Finding the Fourth Proportional to 209,675.70, 314,513.55 and 201,381.30

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Solution

The fourth proportional to 209,675.70, 314,513.55 and 201,381.30 is: 302,071.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,675.70 : 314,513.55 = 201,381.30 : x
  2. Step 2: Convert to fraction form
    209,675.70/314,513.55 = 201,381.30/x
  3. Step 3: Cross multiply
    209,675.70x = 314,513.55 × 201,381.30
  4. Step 4: Simplify right side
    209,675.70x = 63,337,147,566.62
  5. Step 5: Solve for x
    x = 63,337,147,566.62/209,675.70
  6. Step 6: Final answer
    x = 302,071.95

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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.