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Finding the Fourth Proportional to 214,879.08, 296,294.10 and 146,907.12

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Solution

The fourth proportional to 214,879.08, 296,294.10 and 146,907.12 is: 202,568.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,879.08 : 296,294.10 = 146,907.12 : x
  2. Step 2: Convert to fraction form
    214,879.08/296,294.10 = 146,907.12/x
  3. Step 3: Cross multiply
    214,879.08x = 296,294.10 × 146,907.12
  4. Step 4: Simplify right side
    214,879.08x = 43,527,712,903.99
  5. Step 5: Solve for x
    x = 43,527,712,903.99/214,879.08
  6. Step 6: Final answer
    x = 202,568.41

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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.