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Finding the Fourth Proportional to 209,028.90, 288,463.69 and 118,403.68

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Solution

The fourth proportional to 209,028.90, 288,463.69 and 118,403.68 is: 163,399.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,028.90 : 288,463.69 = 118,403.68 : x
  2. Step 2: Convert to fraction form
    209,028.90/288,463.69 = 118,403.68/x
  3. Step 3: Cross multiply
    209,028.90x = 288,463.69 × 118,403.68
  4. Step 4: Simplify right side
    209,028.90x = 34,155,162,442.38
  5. Step 5: Solve for x
    x = 34,155,162,442.38/209,028.90
  6. Step 6: Final answer
    x = 163,399.24

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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.