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Finding the Fourth Proportional to 237,781.62, 328,172.43 and 147,166.77

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Solution

The fourth proportional to 237,781.62, 328,172.43 and 147,166.77 is: 203,111.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,781.62 : 328,172.43 = 147,166.77 : x
  2. Step 2: Convert to fraction form
    237,781.62/328,172.43 = 147,166.77/x
  3. Step 3: Cross multiply
    237,781.62x = 328,172.43 × 147,166.77
  4. Step 4: Simplify right side
    237,781.62x = 48,296,076,526.15
  5. Step 5: Solve for x
    x = 48,296,076,526.15/237,781.62
  6. Step 6: Final answer
    x = 203,111.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.