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Finding the Fourth Proportional to 306,058.50, 459,114.21 and 84,442.50

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Solution

The fourth proportional to 306,058.50, 459,114.21 and 84,442.50 is: 126,671.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,058.50 : 459,114.21 = 84,442.50 : x
  2. Step 2: Convert to fraction form
    306,058.50/459,114.21 = 84,442.50/x
  3. Step 3: Cross multiply
    306,058.50x = 459,114.21 × 84,442.50
  4. Step 4: Simplify right side
    306,058.50x = 38,768,751,677.93
  5. Step 5: Solve for x
    x = 38,768,751,677.93/306,058.50
  6. Step 6: Final answer
    x = 126,671.05

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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.