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Finding the Fourth Proportional to 289,317.90, 433,782.45 and 131,465.10

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Solution

The fourth proportional to 289,317.90, 433,782.45 and 131,465.10 is: 197,109.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,317.90 : 433,782.45 = 131,465.10 : x
  2. Step 2: Convert to fraction form
    289,317.90/433,782.45 = 131,465.10/x
  3. Step 3: Cross multiply
    289,317.90x = 433,782.45 × 131,465.10
  4. Step 4: Simplify right side
    289,317.90x = 57,027,253,167.50
  5. Step 5: Solve for x
    x = 57,027,253,167.50/289,317.90
  6. Step 6: Final answer
    x = 197,109.32

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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.