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Finding the Fourth Proportional to 209,196.45, 288,830.12 and 160,712.03

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Solution

The fourth proportional to 209,196.45, 288,830.12 and 160,712.03 is: 221,889.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,196.45 : 288,830.12 = 160,712.03 : x
  2. Step 2: Convert to fraction form
    209,196.45/288,830.12 = 160,712.03/x
  3. Step 3: Cross multiply
    209,196.45x = 288,830.12 × 160,712.03
  4. Step 4: Simplify right side
    209,196.45x = 46,418,474,828.86
  5. Step 5: Solve for x
    x = 46,418,474,828.86/209,196.45
  6. Step 6: Final answer
    x = 221,889.40

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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.