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Finding the Fourth Proportional to 214,661.64, 322,014.51 and 56,890.11

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Solution

The fourth proportional to 214,661.64, 322,014.51 and 56,890.11 is: 85,341.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,661.64 : 322,014.51 = 56,890.11 : x
  2. Step 2: Convert to fraction form
    214,661.64/322,014.51 = 56,890.11/x
  3. Step 3: Cross multiply
    214,661.64x = 322,014.51 × 56,890.11
  4. Step 4: Simplify right side
    214,661.64x = 18,319,440,895.50
  5. Step 5: Solve for x
    x = 18,319,440,895.50/214,661.64
  6. Step 6: Final answer
    x = 85,341.01

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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.