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Finding the Fourth Proportional to 209,141.89, 288,592.38 and 118,478.44

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Solution

The fourth proportional to 209,141.89, 288,592.38 and 118,478.44 is: 163,486.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,141.89 : 288,592.38 = 118,478.44 : x
  2. Step 2: Convert to fraction form
    209,141.89/288,592.38 = 118,478.44/x
  3. Step 3: Cross multiply
    209,141.89x = 288,592.38 × 118,478.44
  4. Step 4: Simplify right side
    209,141.89x = 34,191,974,978.29
  5. Step 5: Solve for x
    x = 34,191,974,978.29/209,141.89
  6. Step 6: Final answer
    x = 163,486.98

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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.