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Finding the Fourth Proportional to 289,165.20, 433,402.20 and 148,851.60

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Solution

The fourth proportional to 289,165.20, 433,402.20 and 148,851.60 is: 223,099.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,165.20 : 433,402.20 = 148,851.60 : x
  2. Step 2: Convert to fraction form
    289,165.20/433,402.20 = 148,851.60/x
  3. Step 3: Cross multiply
    289,165.20x = 433,402.20 × 148,851.60
  4. Step 4: Simplify right side
    289,165.20x = 64,512,610,913.52
  5. Step 5: Solve for x
    x = 64,512,610,913.52/289,165.20
  6. Step 6: Final answer
    x = 223,099.50

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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.