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Finding the Fourth Proportional to 231,666.40, 346,916.40 and 152,351.20

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Solution

The fourth proportional to 231,666.40, 346,916.40 and 152,351.20 is: 228,143.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,666.40 : 346,916.40 = 152,351.20 : x
  2. Step 2: Convert to fraction form
    231,666.40/346,916.40 = 152,351.20/x
  3. Step 3: Cross multiply
    231,666.40x = 346,916.40 × 152,351.20
  4. Step 4: Simplify right side
    231,666.40x = 52,853,129,839.68
  5. Step 5: Solve for x
    x = 52,853,129,839.68/231,666.40
  6. Step 6: Final answer
    x = 228,143.27

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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.