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Finding the Fourth Proportional to 231,666.90, 346,917.15 and 152,351.70

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Solution

The fourth proportional to 231,666.90, 346,917.15 and 152,351.70 is: 228,144.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,666.90 : 346,917.15 = 152,351.70 : x
  2. Step 2: Convert to fraction form
    231,666.90/346,917.15 = 152,351.70/x
  3. Step 3: Cross multiply
    231,666.90x = 346,917.15 × 152,351.70
  4. Step 4: Simplify right side
    231,666.90x = 52,853,417,561.66
  5. Step 5: Solve for x
    x = 52,853,417,561.66/231,666.90
  6. Step 6: Final answer
    x = 228,144.02

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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.