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Finding the Fourth Proportional to 301,702.50, 452,611.98 and 114,699.42

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Solution

The fourth proportional to 301,702.50, 452,611.98 and 114,699.42 is: 172,071.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,702.50 : 452,611.98 = 114,699.42 : x
  2. Step 2: Convert to fraction form
    301,702.50/452,611.98 = 114,699.42/x
  3. Step 3: Cross multiply
    301,702.50x = 452,611.98 × 114,699.42
  4. Step 4: Simplify right side
    301,702.50x = 51,914,331,591.05
  5. Step 5: Solve for x
    x = 51,914,331,591.05/301,702.50
  6. Step 6: Final answer
    x = 172,071.27

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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.