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Finding the Fourth Proportional to 289,254.90, 433,687.95 and 131,402.10

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Solution

The fourth proportional to 289,254.90, 433,687.95 and 131,402.10 is: 197,014.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,254.90 : 433,687.95 = 131,402.10 : x
  2. Step 2: Convert to fraction form
    289,254.90/433,687.95 = 131,402.10/x
  3. Step 3: Cross multiply
    289,254.90x = 433,687.95 × 131,402.10
  4. Step 4: Simplify right side
    289,254.90x = 56,987,507,374.70
  5. Step 5: Solve for x
    x = 56,987,507,374.70/289,254.90
  6. Step 6: Final answer
    x = 197,014.84

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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.