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Finding the Fourth Proportional to 214,671.40, 322,007.10 and 56,915.80

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Solution

The fourth proportional to 214,671.40, 322,007.10 and 56,915.80 is: 85,373.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,671.40 : 322,007.10 = 56,915.80 : x
  2. Step 2: Convert to fraction form
    214,671.40/322,007.10 = 56,915.80/x
  3. Step 3: Cross multiply
    214,671.40x = 322,007.10 × 56,915.80
  4. Step 4: Simplify right side
    214,671.40x = 18,327,291,702.18
  5. Step 5: Solve for x
    x = 18,327,291,702.18/214,671.40
  6. Step 6: Final answer
    x = 85,373.70

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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.