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Finding the Fourth Proportional to 177,926.40, 267,035.40 and 172,094.40

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Solution

The fourth proportional to 177,926.40, 267,035.40 and 172,094.40 is: 258,282.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,926.40 : 267,035.40 = 172,094.40 : x
  2. Step 2: Convert to fraction form
    177,926.40/267,035.40 = 172,094.40/x
  3. Step 3: Cross multiply
    177,926.40x = 267,035.40 × 172,094.40
  4. Step 4: Simplify right side
    177,926.40x = 45,955,296,941.76
  5. Step 5: Solve for x
    x = 45,955,296,941.76/177,926.40
  6. Step 6: Final answer
    x = 258,282.62

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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.