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Finding the Fourth Proportional to 214,267.16, 321,364.20 and 56,497.16

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Solution

The fourth proportional to 214,267.16, 321,364.20 and 56,497.16 is: 84,736.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,267.16 : 321,364.20 = 56,497.16 : x
  2. Step 2: Convert to fraction form
    214,267.16/321,364.20 = 56,497.16/x
  3. Step 3: Cross multiply
    214,267.16x = 321,364.20 × 56,497.16
  4. Step 4: Simplify right side
    214,267.16x = 18,156,164,625.67
  5. Step 5: Solve for x
    x = 18,156,164,625.67/214,267.16
  6. Step 6: Final answer
    x = 84,736.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.