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Finding the Fourth Proportional to 213,875.50, 295,226.07 and 124,451.50

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Solution

The fourth proportional to 213,875.50, 295,226.07 and 124,451.50 is: 171,788.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,875.50 : 295,226.07 = 124,451.50 : x
  2. Step 2: Convert to fraction form
    213,875.50/295,226.07 = 124,451.50/x
  3. Step 3: Cross multiply
    213,875.50x = 295,226.07 × 124,451.50
  4. Step 4: Simplify right side
    213,875.50x = 36,741,327,250.61
  5. Step 5: Solve for x
    x = 36,741,327,250.61/213,875.50
  6. Step 6: Final answer
    x = 171,788.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.