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Finding the Fourth Proportional to 209,820.74, 289,465.92 and 146,195.46

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Solution

The fourth proportional to 209,820.74, 289,465.92 and 146,195.46 is: 201,689.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,820.74 : 289,465.92 = 146,195.46 : x
  2. Step 2: Convert to fraction form
    209,820.74/289,465.92 = 146,195.46/x
  3. Step 3: Cross multiply
    209,820.74x = 289,465.92 × 146,195.46
  4. Step 4: Simplify right side
    209,820.74x = 42,318,603,328.72
  5. Step 5: Solve for x
    x = 42,318,603,328.72/209,820.74
  6. Step 6: Final answer
    x = 201,689.32

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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.