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Finding the Fourth Proportional to 209,329.14, 288,938.98 and 155,686.80

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Solution

The fourth proportional to 209,329.14, 288,938.98 and 155,686.80 is: 214,895.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,329.14 : 288,938.98 = 155,686.80 : x
  2. Step 2: Convert to fraction form
    209,329.14/288,938.98 = 155,686.80/x
  3. Step 3: Cross multiply
    209,329.14x = 288,938.98 × 155,686.80
  4. Step 4: Simplify right side
    209,329.14x = 44,983,985,191.46
  5. Step 5: Solve for x
    x = 44,983,985,191.46/209,329.14
  6. Step 6: Final answer
    x = 214,895.95

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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.