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Finding the Fourth Proportional to 214,907.01, 296,565.78 and 119,411.25

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Solution

The fourth proportional to 214,907.01, 296,565.78 and 119,411.25 is: 164,784.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,907.01 : 296,565.78 = 119,411.25 : x
  2. Step 2: Convert to fraction form
    214,907.01/296,565.78 = 119,411.25/x
  3. Step 3: Cross multiply
    214,907.01x = 296,565.78 × 119,411.25
  4. Step 4: Simplify right side
    214,907.01x = 35,413,289,014.20
  5. Step 5: Solve for x
    x = 35,413,289,014.20/214,907.01
  6. Step 6: Final answer
    x = 164,784.25

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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.