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Finding the Fourth Proportional to 209,417.67, 289,002.87 and 118,777.32

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Solution

The fourth proportional to 209,417.67, 289,002.87 and 118,777.32 is: 163,916.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,417.67 : 289,002.87 = 118,777.32 : x
  2. Step 2: Convert to fraction form
    209,417.67/289,002.87 = 118,777.32/x
  3. Step 3: Cross multiply
    209,417.67x = 289,002.87 × 118,777.32
  4. Step 4: Simplify right side
    209,417.67x = 34,326,986,370.91
  5. Step 5: Solve for x
    x = 34,326,986,370.91/209,417.67
  6. Step 6: Final answer
    x = 163,916.38

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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.