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Finding the Fourth Proportional to 214,814.76, 296,444.25 and 119,330.34

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Solution

The fourth proportional to 214,814.76, 296,444.25 and 119,330.34 is: 164,675.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,814.76 : 296,444.25 = 119,330.34 : x
  2. Step 2: Convert to fraction form
    214,814.76/296,444.25 = 119,330.34/x
  3. Step 3: Cross multiply
    214,814.76x = 296,444.25 × 119,330.34
  4. Step 4: Simplify right side
    214,814.76x = 35,374,793,143.55
  5. Step 5: Solve for x
    x = 35,374,793,143.55/214,814.76
  6. Step 6: Final answer
    x = 164,675.80

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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.