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Finding the Fourth Proportional to 209,230.50, 288,732.01 and 118,594.81

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Solution

The fourth proportional to 209,230.50, 288,732.01 and 118,594.81 is: 163,657.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,230.50 : 288,732.01 = 118,594.81 : x
  2. Step 2: Convert to fraction form
    209,230.50/288,732.01 = 118,594.81/x
  3. Step 3: Cross multiply
    209,230.50x = 288,732.01 × 118,594.81
  4. Step 4: Simplify right side
    209,230.50x = 34,242,115,830.23
  5. Step 5: Solve for x
    x = 34,242,115,830.23/209,230.50
  6. Step 6: Final answer
    x = 163,657.38

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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.