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Finding the Fourth Proportional to 209,176.95, 288,666.42 and 113,683.65

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Solution

The fourth proportional to 209,176.95, 288,666.42 and 113,683.65 is: 156,884.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,176.95 : 288,666.42 = 113,683.65 : x
  2. Step 2: Convert to fraction form
    209,176.95/288,666.42 = 113,683.65/x
  3. Step 3: Cross multiply
    209,176.95x = 288,666.42 × 113,683.65
  4. Step 4: Simplify right side
    209,176.95x = 32,816,652,258.03
  5. Step 5: Solve for x
    x = 32,816,652,258.03/209,176.95
  6. Step 6: Final answer
    x = 156,884.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.