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Finding the Fourth Proportional to 283,434.56, 425,004.20 and 105,795.48

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Solution

The fourth proportional to 283,434.56, 425,004.20 and 105,795.48 is: 158,638.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,434.56 : 425,004.20 = 105,795.48 : x
  2. Step 2: Convert to fraction form
    283,434.56/425,004.20 = 105,795.48/x
  3. Step 3: Cross multiply
    283,434.56x = 425,004.20 × 105,795.48
  4. Step 4: Simplify right side
    283,434.56x = 44,963,523,341.02
  5. Step 5: Solve for x
    x = 44,963,523,341.02/283,434.56
  6. Step 6: Final answer
    x = 158,638.11

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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.