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Finding the Fourth Proportional to 251,702.40, 377,553.60 and 102,014.40

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Solution

The fourth proportional to 251,702.40, 377,553.60 and 102,014.40 is: 153,021.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,702.40 : 377,553.60 = 102,014.40 : x
  2. Step 2: Convert to fraction form
    251,702.40/377,553.60 = 102,014.40/x
  3. Step 3: Cross multiply
    251,702.40x = 377,553.60 × 102,014.40
  4. Step 4: Simplify right side
    251,702.40x = 38,515,903,971.84
  5. Step 5: Solve for x
    x = 38,515,903,971.84/251,702.40
  6. Step 6: Final answer
    x = 153,021.60

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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.