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Finding the Fourth Proportional to 284,210.96, 425,946.22 and 115,534.26

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Solution

The fourth proportional to 284,210.96, 425,946.22 and 115,534.26 is: 173,150.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,210.96 : 425,946.22 = 115,534.26 : x
  2. Step 2: Convert to fraction form
    284,210.96/425,946.22 = 115,534.26/x
  3. Step 3: Cross multiply
    284,210.96x = 425,946.22 × 115,534.26
  4. Step 4: Simplify right side
    284,210.96x = 49,211,380,165.63
  5. Step 5: Solve for x
    x = 49,211,380,165.63/284,210.96
  6. Step 6: Final answer
    x = 173,150.89

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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.