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Finding the Fourth Proportional to 291,971.80, 437,972.10 and 152,003.80

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Solution

The fourth proportional to 291,971.80, 437,972.10 and 152,003.80 is: 228,013.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,971.80 : 437,972.10 = 152,003.80 : x
  2. Step 2: Convert to fraction form
    291,971.80/437,972.10 = 152,003.80/x
  3. Step 3: Cross multiply
    291,971.80x = 437,972.10 × 152,003.80
  4. Step 4: Simplify right side
    291,971.80x = 66,573,423,493.98
  5. Step 5: Solve for x
    x = 66,573,423,493.98/291,971.80
  6. Step 6: Final answer
    x = 228,013.20

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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.