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Finding the Fourth Proportional to 271,852.83, 375,186.30 and 164,482.07

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Solution

The fourth proportional to 271,852.83, 375,186.30 and 164,482.07 is: 227,003.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,852.83 : 375,186.30 = 164,482.07 : x
  2. Step 2: Convert to fraction form
    271,852.83/375,186.30 = 164,482.07/x
  3. Step 3: Cross multiply
    271,852.83x = 375,186.30 × 164,482.07
  4. Step 4: Simplify right side
    271,852.83x = 61,711,416,766.90
  5. Step 5: Solve for x
    x = 61,711,416,766.90/271,852.83
  6. Step 6: Final answer
    x = 227,003.03

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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.