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Finding the Fourth Proportional to 209,715.60, 289,684.50 and 155,378.16

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Solution

The fourth proportional to 209,715.60, 289,684.50 and 155,378.16 is: 214,627.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,715.60 : 289,684.50 = 155,378.16 : x
  2. Step 2: Convert to fraction form
    209,715.60/289,684.50 = 155,378.16/x
  3. Step 3: Cross multiply
    209,715.60x = 289,684.50 × 155,378.16
  4. Step 4: Simplify right side
    209,715.60x = 45,010,644,590.52
  5. Step 5: Solve for x
    x = 45,010,644,590.52/209,715.60
  6. Step 6: Final answer
    x = 214,627.07

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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.