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Finding the Fourth Proportional to 214,842.18, 296,472.14 and 119,354.70

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Solution

The fourth proportional to 214,842.18, 296,472.14 and 119,354.70 is: 164,703.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,842.18 : 296,472.14 = 119,354.70 : x
  2. Step 2: Convert to fraction form
    214,842.18/296,472.14 = 119,354.70/x
  3. Step 3: Cross multiply
    214,842.18x = 296,472.14 × 119,354.70
  4. Step 4: Simplify right side
    214,842.18x = 35,385,343,328.06
  5. Step 5: Solve for x
    x = 35,385,343,328.06/214,842.18
  6. Step 6: Final answer
    x = 164,703.89

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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.