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Finding the Fourth Proportional to 284,031.84, 425,941.44 and 121,905.42

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Solution

The fourth proportional to 284,031.84, 425,941.44 and 121,905.42 is: 182,812.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,031.84 : 425,941.44 = 121,905.42 : x
  2. Step 2: Convert to fraction form
    284,031.84/425,941.44 = 121,905.42/x
  3. Step 3: Cross multiply
    284,031.84x = 425,941.44 × 121,905.42
  4. Step 4: Simplify right side
    284,031.84x = 51,924,570,138.60
  5. Step 5: Solve for x
    x = 51,924,570,138.60/284,031.84
  6. Step 6: Final answer
    x = 182,812.50

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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.