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Finding the Fourth Proportional to 231,802.90, 347,704.35 and 201,390.10

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Solution

The fourth proportional to 231,802.90, 347,704.35 and 201,390.10 is: 302,085.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,802.90 : 347,704.35 = 201,390.10 : x
  2. Step 2: Convert to fraction form
    231,802.90/347,704.35 = 201,390.10/x
  3. Step 3: Cross multiply
    231,802.90x = 347,704.35 × 201,390.10
  4. Step 4: Simplify right side
    231,802.90x = 70,024,213,816.94
  5. Step 5: Solve for x
    x = 70,024,213,816.94/231,802.90
  6. Step 6: Final answer
    x = 302,085.15

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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.