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Finding the Fourth Proportional to 283,722.40, 425,645.88 and 84,058.42

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Solution

The fourth proportional to 283,722.40, 425,645.88 and 84,058.42 is: 126,106.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,722.40 : 425,645.88 = 84,058.42 : x
  2. Step 2: Convert to fraction form
    283,722.40/425,645.88 = 84,058.42/x
  3. Step 3: Cross multiply
    283,722.40x = 425,645.88 × 84,058.42
  4. Step 4: Simplify right side
    283,722.40x = 35,779,120,152.31
  5. Step 5: Solve for x
    x = 35,779,120,152.31/283,722.40
  6. Step 6: Final answer
    x = 126,106.08

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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.