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Finding the Fourth Proportional to 284,002.60, 425,642.10 and 150,946.60

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Solution

The fourth proportional to 284,002.60, 425,642.10 and 150,946.60 is: 226,227.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,002.60 : 425,642.10 = 150,946.60 : x
  2. Step 2: Convert to fraction form
    284,002.60/425,642.10 = 150,946.60/x
  3. Step 3: Cross multiply
    284,002.60x = 425,642.10 × 150,946.60
  4. Step 4: Simplify right side
    284,002.60x = 64,249,227,811.86
  5. Step 5: Solve for x
    x = 64,249,227,811.86/284,002.60
  6. Step 6: Final answer
    x = 226,227.60

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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.