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Finding the Fourth Proportional to 228,045.26, 314,711.33 and 151,432.25

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Solution

The fourth proportional to 228,045.26, 314,711.33 and 151,432.25 is: 208,982.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,045.26 : 314,711.33 = 151,432.25 : x
  2. Step 2: Convert to fraction form
    228,045.26/314,711.33 = 151,432.25/x
  3. Step 3: Cross multiply
    228,045.26x = 314,711.33 × 151,432.25
  4. Step 4: Simplify right side
    228,045.26x = 47,657,442,471.67
  5. Step 5: Solve for x
    x = 47,657,442,471.67/228,045.26
  6. Step 6: Final answer
    x = 208,982.39

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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.