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Finding the Fourth Proportional to 214,551.44, 296,066.76 and 119,052.08

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Solution

The fourth proportional to 214,551.44, 296,066.76 and 119,052.08 is: 164,283.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,551.44 : 296,066.76 = 119,052.08 : x
  2. Step 2: Convert to fraction form
    214,551.44/296,066.76 = 119,052.08/x
  3. Step 3: Cross multiply
    214,551.44x = 296,066.76 × 119,052.08
  4. Step 4: Simplify right side
    214,551.44x = 35,247,363,596.86
  5. Step 5: Solve for x
    x = 35,247,363,596.86/214,551.44
  6. Step 6: Final answer
    x = 164,283.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.