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Finding the Fourth Proportional to 284,090.84, 426,025.64 and 106,501.04

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Solution

The fourth proportional to 284,090.84, 426,025.64 and 106,501.04 is: 159,710.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,090.84 : 426,025.64 = 106,501.04 : x
  2. Step 2: Convert to fraction form
    284,090.84/426,025.64 = 106,501.04/x
  3. Step 3: Cross multiply
    284,090.84x = 426,025.64 × 106,501.04
  4. Step 4: Simplify right side
    284,090.84x = 45,372,173,726.67
  5. Step 5: Solve for x
    x = 45,372,173,726.67/284,090.84
  6. Step 6: Final answer
    x = 159,710.09

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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.