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Finding the Fourth Proportional to 253,506.27, 349,814.35 and 151,511.41

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Solution

The fourth proportional to 253,506.27, 349,814.35 and 151,511.41 is: 209,071.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,506.27 : 349,814.35 = 151,511.41 : x
  2. Step 2: Convert to fraction form
    253,506.27/349,814.35 = 151,511.41/x
  3. Step 3: Cross multiply
    253,506.27x = 349,814.35 × 151,511.41
  4. Step 4: Simplify right side
    253,506.27x = 53,000,865,406.73
  5. Step 5: Solve for x
    x = 53,000,865,406.73/253,506.27
  6. Step 6: Final answer
    x = 209,071.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.