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Finding the Fourth Proportional to 162,371.25, 224,072.33 and 89,774.19

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Solution

The fourth proportional to 162,371.25, 224,072.33 and 89,774.19 is: 123,888.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,371.25 : 224,072.33 = 89,774.19 : x
  2. Step 2: Convert to fraction form
    162,371.25/224,072.33 = 89,774.19/x
  3. Step 3: Cross multiply
    162,371.25x = 224,072.33 × 89,774.19
  4. Step 4: Simplify right side
    162,371.25x = 20,115,911,478.29
  5. Step 5: Solve for x
    x = 20,115,911,478.29/162,371.25
  6. Step 6: Final answer
    x = 123,888.38

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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.